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category theory, a projective cover of an object M is in a sense the best approximation of M by a projective object P. Projective covers are the dual of
Projective_cover
Construction in group theory
especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action
Projective_linear_group
Direct summand of a free module (mathematics)
the property of lifting that carries over from free to projective modules: a module P is projective if and only if for every surjective module homomorphism
Projective_module
Type of topological space
standard round metric, the measure of projective space is exactly half the measure of the sphere. Real projective spaces are smooth manifolds. On Sn, in
Real_projective_space
Algebraic variety in a projective space
In algebraic geometry, a projective variety is an algebraic variety that is a closed subvariety of a projective space. That is, it is the zero-locus in
Projective_variety
Topics referred to by the same term
Look up projective in Wiktionary, the free dictionary. Projective may refer to Projective geometry Projective space Projective plane Projective variety
Projective
Compact non-orientable two-dimensional manifold
real projective plane, denoted R P 2 {\displaystyle \mathbf {RP} ^{2}} or P 2 {\displaystyle \mathbb {P} _{2}} , is a two-dimensional projective space
Real_projective_plane
In projective geometry an ovoid is a sphere like pointset (surface) in a projective space of dimension d ≥ 3. Simple examples in a real projective space
Ovoid_(projective_geometry)
Line with a point at infinity added
In projective geometry and mathematics more generally, a projective line is, roughly speaking, the extension of a usual line by a point called a point
Projective_line
Fiber bundle whose fibers are projective spaces
In mathematics, a projective bundle is a fiber bundle whose fibers are projective spaces. By definition, a scheme X over a Noetherian scheme S is a Pn-bundle
Projective_bundle
Algebraic structure in ring theory
minimal projective resolutions, where each map is required to be a projective cover of the kernel of the map to the right. However, projective covers need
Flat_module
Mathematical concept
complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space
Complex_projective_space
Map from algebra to geometric transforms
mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear group P
Projective_representation
Plane tiling corresponding to a polyhedron
In geometry, a (globally) projective polyhedron is a tessellation of the real projective plane. These are projective analogs of spherical polyhedra – tessellations
Projective_polyhedron
Projective line over the real numbers
In geometry, a real projective line is a projective line over the real numbers. It is an extension of the usual concept of a line that has been historically
Real_projective_line
Quotient of special unitary group by its center
isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space. In terms of matrices
Projective_unitary_group
a projective cover, and the flat left R-modules coincide with the projective left modules. An analogue of the Baer's criterion holds for projective modules
Perfect_ring
Conservative political initiative in the United States
grounds. Project 2025 proposes eliminating insurance coverage of the morning-after pill Ella, which insurance companies are required to cover under the
Project_2025
Relation between Lie algebras depicted as a square
the octonionic projective plane – FII, dimension 16 = 2 × 8, F4 symmetry, Cayley projective plane P2(O), the bioctonionic projective plane – EIII, dimension
Freudenthal_magic_square
fundamental geometric statement on projective spaces: the Euler sequence. The negativity of the canonical line bundle makes projective spaces prime examples of
Algebraic geometry of projective spaces
Algebraic_geometry_of_projective_spaces
In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V
Projective_orthogonal_group
2021 science-fiction novel by Andy Weir
Project Hail Mary is a 2021 hard science fiction novel by American writer Andy Weir. It centers on school teacher and former biologist Ryland Grace, who
Project_Hail_Mary
a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have the same Betti numbers as the projective plane, but
Fake_projective_plane
form a cyclic group and provide the basis for a cyclic cover. A line bundle over a complex projective variety with torsion index r {\displaystyle r} may induce
Cyclic_cover
Exact sequence used to describe the structure of an object
resolutions, projective resolutions and flat resolutions, which are left resolutions consisting, respectively of free modules, projective modules or flat
Resolution_(algebra)
flat cover that is unique up to (non-unique) isomorphism. Flat covers are in some sense dual to injective hulls, and are related to projective covers and
Flat_cover
Stadium in London, England
Northumberland Development Project, intended to be the catalyst for a 20-year regeneration plan for Tottenham. The project covers the site of the now demolished
Tottenham_Hotspur_Stadium
Set of hypergraph nodes to which every hyperedge is connected
^{*}(H)}}\leq 1+\ln(d).} A finite projective plane is a hypergraph in which every two hyperedges intersect. Every finite projective plane is r-uniform for some
Vertex_cover_in_hypergraphs
Model of the extended complex plane plus a point at infinity
manifolds. In projective geometry, the sphere is an example of a complex projective space and can be thought of as the complex projective line P 1 ( C
Riemann_sphere
Module over a ring
Tor1(K/R,M) vanishes. Therefore flat modules, and in particular free and projective modules, are torsion-free, but the converse need not be true. An example
Torsion-free_module
2025 American documentary film
Cover-Up is a 2025 American documentary film produced and directed by Laura Poitras and Mark Obenhaus. It explores the investigative journalism career
Cover-Up_(2025_film)
Concept in abstract algebra
general an F-cover of M need not exist, but if it does exist then it is unique up to (non-unique) isomorphism. Examples include: Projective covers (always
Cover_(algebra)
Notion in abstract algebra
Fleischer (1968). The dual notion of a projective cover does not always exist for a module, however a flat cover exists for every module. In some cases
Injective_hull
This is a list of people and topics appearing on the cover of Time magazine in the 1990s. Time was first published in 1923. As Time became established
List of covers of Time magazine (1990s)
List_of_covers_of_Time_magazine_(1990s)
Branch of mathematics that studies algebraic structures
Homological types: Projective module Projective cover Swan's theorem Quillen–Suslin theorem Injective module Injective hull Flat module Flat cover Coherent module
List of abstract algebra topics
List_of_abstract_algebra_topics
Graph theory concept
projective-planar graphs may not itself be projective-planar but will still have a planar cover, the disjoint union of the orientable double covers.
Planar_cover
National warship program of Turkey
surface-to-air warfare, and amphibious operations. As of 2023, the MILGEM project covers four Ada class anti-submarine warfare corvettes, one ELINT corvette
MILGEM_project
British action comedy film
Deep Cover is a 2025 British action comedy film directed by Tom Kingsley and written by Derek Connolly, Colin Trevorrow, Ben Ashenden and Alexander Owen
Deep_Cover_(2025_film)
2007 compilation album by Various artists
Sounds Eclectic: The Covers Project is a compilation album consisting of cover songs performed by a variety of artists on KCRW. The recordings come from
Sounds Eclectic: The Covers Project
Sounds_Eclectic:_The_Covers_Project
Second homology group of a group
into the projective general linear group PGL ( n , C ) {\displaystyle \operatorname {PGL} (n,\mathbb {C} )} . In other words, a projective representation
Schur_multiplier
Type of concealed or secretive government activity
police operation involving a covert agent or troops acting under an assumed cover to conceal the identity of the party responsible. Covert actions come with
Covert_operation
infinite if there is no finite projective resolution. 3. A projective cover is a minimal surjection from a projective module. pure submodule pure submodule
Glossary_of_module_theory
Fraction of the sky obscured by clouds when observed from a particular location
Cloud cover (also known as cloudiness, cloudage, or cloud amount) refers to the fraction of the sky obscured by clouds on average when observed from a
Cloud_cover
Partition of a sphere's surface into polygons
projective polyhedra (tessellations of the real projective plane) – just as the sphere has a 2-to-1 covering map of the projective plane, projective polyhedra
Spherical_polyhedron
English musician and songwriter (born 1942)
film projects. Many of his Beatles songs, including "And I Love Her", "Yesterday", "Eleanor Rigby" and "Blackbird", rank among the most covered songs
Paul_McCartney
CIA program involving illegal experimentation on human test subjects (1953–1973)
2020. Retrieved October 20, 2013. Schoenberg, Tom (July 17, 2013). "CIA Cover-Up Suit Over Scientist's Fatal Fall Dismissed". Bloomberg. Archived from
MKUltra
Generalization of covers
construct a degree 2 branched covering of the corresponding projective elliptic curve to the projective line. The previous example may be generalized to any
Branched_covering
a projective plane. Since a projective plane is a self-dual configuration, the dual configuration of an affine plane is obtained from a projective plane
Truncated_projective_plane
American software company
Coverity is a proprietary static code analysis tool from Black Duck, Inc. This product enables engineers and security teams to find and fix software defects
Coverity
Application of Clifford algebra
is known as "Projective" Geometric Algebra. It should be clarified that projective geometric algebra does not include the full projective group; this is
Plane-based_geometric_algebra
Subspace defined by a polynomial of degree 2 over a field
by working in projective space rather than affine space. An example is the quadric surface x y = z w {\displaystyle xy=zw} in projective space P 3 {\displaystyle
Quadric_(algebraic_geometry)
Video game gameplay mechanic
A cover system is a video game gameplay mechanic that lets certain areas of virtual space, usually a three-dimensional map, provide game characters a
Cover_system
Curve from a cone intersecting a plane
{\displaystyle \pi } . A projective mapping is a finite sequence of perspective mappings. As a projective mapping in a projective plane over a field (pappian
Conic_section
Geometric system with a finite number of points
Galois geometries, since any finite projective space of dimension three or greater is isomorphic to a projective space over a finite field (that is, the
Finite_geometry
This is a list of cover versions by music artists who have recorded one or more songs written and originally recorded by English rock band The Beatles
List of cover versions of Beatles songs
List_of_cover_versions_of_Beatles_songs
Physics-mathematics connection
tells us that every projective unitary representation of G {\displaystyle G} comes from an ordinary representation of the universal cover G ~ {\displaystyle
Particle physics and representation theory
Particle_physics_and_representation_theory
Tattoo that covers an earlier tattoo, scar, or skin condition
Cover-up tattoos are those done over one or more previous tattoos, scars, or skin conditions. People cover up old tattoos for a variety of reasons, such
Cover-up_tattoo
Self-intersecting compact surface, an immersion of the real projective plane
of the real projective plane, RP2 by a smooth map. That is, the parametrization of the Boy's surface is an immersion of the real projective plane into
Boy's_surface
Project was funded by the National Science Foundation (NSF) and the National Oceanic and Atmospheric Administration (NOAA). The TORUS Project covers over
TORUS_Project
Connected non-abelian Lie group lacking nontrivial connected normal subgroups
equal to 1 is simple for all odd n > 1, when it is isomorphic to the projective special linear group. The first classification of simple Lie groups was
Simple_Lie_group
American singer and songwriter (born 1981)
(January 9, 2013). "Beyonce sizzles on cover of GQ". USA Today. Retrieved June 8, 2025. Touré (February 15, 2009). "Cover Story: A Woman Possessed: Rolling
Beyoncé
Vector bundle of rank 1
{\displaystyle L} . In this way, projective space acquires a universal property. The universal way to determine a map to projective space is to map to the projectivization
Line_bundle
American non-governmental organization
about religious dynamics and actors to existing ACLED data. The pilot project covered seven countries in the Middle East and North Africa: Bahrain, Egypt
Armed Conflict Location and Event Data
Armed_Conflict_Location_and_Event_Data
The original touch cover came with 80 touch sensors and was pressure sensitive. With the release of the Surface 2 a Touch Cover 2 was announced which
List of Microsoft Surface accessories
List_of_Microsoft_Surface_accessories
Space in mathematics and theoretical physics
and metric between the two are considered. It turns out that complex projective 3-space C P 3 {\displaystyle \mathbb {CP} ^{3}} parametrizes such isomorphisms
Twistor_space
Partition into subsets from a given family
{\displaystyle {\mathcal {S}}} of subsets of a set X {\displaystyle X} , an exact cover is a subcollection S ∗ {\displaystyle {\mathcal {S}}^{*}} of S {\displaystyle
Exact_cover
American musician (born 1958)
The Clique cover "Superman" and The Troggs cover "Love Is All Around". Mills has written and performed with friends on various projects during his time
Mike_Mills
Topological concept in algebraic geometry
\operatorname {Aut} _{X}(X_{i})} which produces a projective system of automorphism groups from the projective system { X i } {\displaystyle \{X_{i}\}} . We
Étale_fundamental_group
space of ordered sets of 6 points in the projective plane, and can be represented as a double cover of the projective 4-space branched over the Igusa quartic
Coble_variety
1982 studio album by Venom
Daniel of Matmos' house side project, covered the title track on his 2014 record Why Do The Heathen Rage? Unleashed covered "Countess Bathory" on Shadows
Black_Metal_(Venom_album)
Derived bipartite graph with twice as many nodes as the original graph
double cover of K6. Instead, it can be obtained as the orientable double cover of an embedding of K6 on the projective plane. The double covers of a graph
Bipartite_double_cover
English singer (born 1995)
Nyden on a project to create four clothing collections, but it failed and Lipa "discontinued" her work with the brand. She was on the cover of British
Dua_Lipa
Shape
egg. The term is not very specific, but in some areas of mathematics (projective geometry, technical drawing, etc.), it is given a more precise definition
Oval
Group of real 2×2 matrices with unit determinant
isomorphism: It is the group of orientation-preserving projective transformations of the real projective line R ∪ {∞}. It is the group of conformal automorphisms
SL2(R)
Group representation
{\displaystyle {\tilde {G}}} descends to a projective representation of G {\displaystyle G} . In the physics literature, projective representations are often described
Representation_of_a_Lie_group
2011 compilation album by Deftones
and Bad Cover Songs". April 28, 2011. Wiederhorn, Jon (March 30, 2011). "Deftones Frontman Excited For Tour, 'Covers' Album, New Side Project". Noisecreep
Covers_(Deftones_album)
American rapper (born 1991)
cover story titled “The Reemergence of Travis Scott.” In the same year, Scott collaborated with PIN-UP Magazine for a feature in which as the cover star
Travis_Scott
linear group, while a projective representation is a homomorphism G → PGL(n, C) from G to a projective linear group. Projective representations of G correspond
Covering groups of the alternating and symmetric groups
Covering_groups_of_the_alternating_and_symmetric_groups
2022 American film by Shawn Levy
The Adam Project is a 2022 American science fiction action film directed by Shawn Levy and written by Jonathan Tropper, T. S. Nowlin, Jennifer Flackett
The_Adam_Project
2008 studio album by Morning Musume
Cover You is the first cover and tribute album by the J-pop idol group Morning Musume, released on November 26, 2008. The album features songs by Yū Aku
Cover_You
Projective analogue of the spectrum of a ring
schemes, which produces objects with the typical properties of projective spaces and projective varieties. The construction, while not functorial, is a fundamental
Proj_construction
American singer, actor, producer (born 1978)
Studdard the win. Rolling Stone featured Aiken on the cover of its July 2003 issue. In the cover article, Aiken said, despite being gay, "One thing I've
Clay_Aiken
Bullet hell shoot 'em up video game series
"Tetsuya Komuro Remix". In May 2024, the game Project Sekai: Colorful Stage! feat. Hatsune Miku released a cover by the unit "25-ji, Nightcord de." accompanied
Touhou_Project
Embedding a topological space into a compact space as a dense subset
that the projective plane RP2 is not the one-point compactification of the plane R2 since more than one point is added. Complex projective space CPn
Compactification (mathematics)
Compactification_(mathematics)
Branch of mathematics
of this period was the systematic study of projective geometry by Girard Desargues (1591–1661). Projective geometry studies properties of shapes which
Geometry
Concept in mathematics
M, is there a projective module P and an epimorphism from P onto M whose kernel is superfluous? (Such a P is called a projective cover). The answer is
Essential_extension
2003 first-person shooter video game
I.G.I.-2: Covert Strike, known in the PAL region as Project I.G.I. 2, is a 2003 tactical shooter video game developed by Innerloop Studios and released
I.G.I.-2:_Covert_Strike
Rational function of the form (az + b)/(cz + d)
transformations are the projective transformations of the complex projective line. They form a group called the Möbius group, which is the projective linear group
Möbius_transformation
Dam in Telangana, India
Kadem Project is a reservoir on the river Kadem, a tributary river of Godavari near Kademm Mandal, Nirmal District, Telangana. This project covers localised
Kaddam_Project
This is a list of cover versions by notable music artists who have recorded one or more songs recorded by American singer Michael Jackson. Many notable
List of cover versions of Michael Jackson songs
List_of_cover_versions_of_Michael_Jackson_songs
1984 single by Cyndi Lauper
version first aired on BET and The Box. Novaspace, a German Eurodance project, covered the song on their debut studio album Supernova (2003). It reached number
Time After Time (Cyndi Lauper song)
Time_After_Time_(Cyndi_Lauper_song)
1994 song by Nine Inch Nails
by NME in July 2011. The single contains a cover of Depeche Mode's "Personal Jesus" as a B-side. Cash's cover of the song had sold 2,148,000 downloads in
Hurt_(Nine_Inch_Nails_song)
American actress (born 1962)
needed] She posed nude on the October 2019 cover of Harper's Bazaar. As of 2024, she has appeared on magazine covers every year since 1980. Moore has appeared
Demi_Moore
1979 studio album by the Alan Parsons Project
faces brought comment from Eric Woolfson: "The cover seemed a mis-match to me. It was a brilliant cover from Hipgnosis, but it didn't reflect my thinking
Eve (Alan Parsons Project album)
Eve_(Alan_Parsons_Project_album)
Type of object in algebraic geometry
examples arise from weighted projective spaces and weighted projective varieties. For instance, the weighted projective line P ( 2 , 3 ) {\displaystyle
Deligne–Mumford_stack
Music description and organization project
to connect them together into an interactive map. The Music Genome Project covers five music genres: Pop/Rock, Hip-Hop/Electronica, Jazz, World Music
Music_Genome_Project
American rock musician and songwriter (born 1969)
Ghosts" (a cover of a Roky Erickson song), and drums on "I'm a Marionette" (an ABBA cover) as well as "Waiting for the Night" (a Depeche Mode cover). According
Dave_Grohl
Collection of audio recordings
assembled albums, typically with artwork on the front cover and liner notes on the back or inside cover. Most albums included three or four records, with
Album
Mathematical object in sheaf cohomology
enough of them: not every sheaf is the quotient of a projective sheaf, and in particular projective resolutions do not always exist. This is the case, for
Injective_sheaf
2000 play by Moisés Kaufman and others
for merging. › The Laramie Project is a 2000 American play by Moisés Kaufman and members of the Tectonic Theater Project (specifically, Leigh Fondakowski
The_Laramie_Project
PROJECTIVE COVER
PROJECTIVE COVER
Boy/Male
German
Protective
Girl/Female
German, Swedish
Protective Victory
Girl/Female
Muslim/Islamic
Protective angel
Girl/Female
Irish
Protective.
Boy/Male
Arabic, Indian, Muslim, Sindhi
Protective; Safety
Boy/Male
Polish
Protective shield.
Girl/Female
Muslim/Islamic
Protective angel
Boy/Male
Christian & English(British/American/Australian)
Protective Friend
Girl/Female
German American
Protective.
Boy/Male
Christian & English(British/American/Australian)
Protective Grace
Girl/Female
German, Italian, Swedish
Protective; Victorious Shield
Girl/Female
Indian
Protective Angel
Girl/Female
Indian
Protective Angel
Girl/Female
Muslim
Protective Angel
Boy/Male
German
Protective
Girl/Female
Irish
Protective.
Boy/Male
British, English, Netherlands
Protective
Girl/Female
Celtic, French, German, Irish
Strong; Protective
Boy/Male
Greek
Productive.
Girl/Female
Muslim
Protective Angel
PROJECTIVE COVER
PROJECTIVE COVER
Female
African
time-spirit.
Girl/Female
Indian, Tamil
Beauty; Goddess
Girl/Female
Indian
Interrupter of the sacrifice of Daksha
Girl/Female
Indian, Sanskrit
Born of Honey
Boy/Male
Arabic
Cute
Male
Iranian/Persian
(جاوید) Persian name derived from the word jawid, JAVID means "eternal."
Girl/Female
Biblical
Lividness.
Boy/Male
Hindu
Ali
Girl/Female
Australian, French, German, Irish
Wild; Crazy Acting
Girl/Female
Arabic
Lady; Noble Woman
PROJECTIVE COVER
PROJECTIVE COVER
PROJECTIVE COVER
PROJECTIVE COVER
PROJECTIVE COVER
n.
Being within view or consideration, as a future event or contingency; relating to the future: expected; as, a prospective benefit.
a.
Having the quality or power of producing; yielding or furnishing results; as, productive soil; productive enterprises; productive labor, that which increases the number or amount of products.
n.
A jutting out beyond a surface.
a.
Projecting or impelling forward; as, a projectile force.
n.
The representation of something; delineation; plan; especially, the representation of any object on a perspective plane, or such a delineation as would result were the chief points of the object thrown forward upon the plane, each in the direction of a line drawn through it from a given point of sight, or central point; as, the projection of a sphere. The several kinds of projection differ according to the assumed point of sight and plane of projection in each.
n.
Of or pertaining to a prospect; furnishing a prospect; perspective.
n.
Looking forward in time; acting with foresight; -- opposed to retrospective.
a.
Caused or imparted by impulse or projection; impelled forward; as, projectile motion.
n.
Any method of representing the surface of the earth upon a plane.
n.
A part of mechanics which treats of the motion, range, time of flight, etc., of bodies thrown or driven through the air by an impelling force.
n.
The act of scheming or planning; also, that which is planned; contrivance; design; plan.
n.
The scene before or around, in time or in space; view; prospect.
n.
A body projected, or impelled forward, by force; especially, a missile adapted to be shot from a firearm.
a.
Bringing into being; causing to exist; producing; originative; as, an age productive of great men; a spirit productive of heroic achievements.
a.
Pertaining to projection, or to a projectile.
n.
The act of throwing or shooting forward.
n.
A jutting out; also, a part jutting out, as of a building; an extension beyond something else.
a.
Affording protection; sheltering; defensive.
n.
The quality or state of projecting, or being projected; projection; protrusion.
n.
A perspective glass.