Find link

language:

Find link is a tool written by Edward Betts.

searching for Real projective space 25 found (98 total)

Oriented projective geometry (835 words) [view diff] no match in snippet view article find links to article

nonnegative integer. The (analytical model of, or canonical) oriented (real) projective space or (canonical) two-sided projective space T n {\displaystyle \mathbb

Hyperplane at infinity (346 words) [view diff] exact match in snippet view article find links to article

converts it into an n-dimensional projective space, such as the real projective space RPn. By adding these ideal points, the entire affine space A is

Umbilic torus (608 words) [view diff] exact match in snippet view article find links to article

The equivalence classes of such cubics form a three-dimensional real projective space and the subset of parabolic forms define a surface – the umbilic

Steenrod algebra (5,577 words) [view diff] no match in snippet view article find links to article

In algebraic topology, a Steenrod algebra was defined by Henri Cartan (1955) to be the algebra of stable cohomology operations for mod p {\displaystyle

Essential manifold (269 words) [view diff] exact match in snippet view article find links to article

manifolds) are essential with the exception of the 2-sphere S2. Real projective space RPn is essential since the inclusion R P n → R P ∞ {\displaystyle

Transformation matrix (3,830 words) [view diff] exact match in snippet view article find links to article

w = 1 plane in real projective space, and so translation in real Euclidean space can be represented as a shear in real projective space. Although a translation

Projective orthogonal group (1,872 words) [view diff] exact match in snippet view article find links to article

fact that each odd-dimensional real projective space is orientable, while each even-dimensional real projective space of positive dimension is non-orientable

Erlangen program (1,913 words) [view diff] exact match in snippet view article find links to article

n real-valued dimensions is the symmetry group of n-dimensional real projective space (the general linear group of degree n + 1, quotiented by scalar

Spherical 3-manifold (1,378 words) [view diff] exact match in snippet view article find links to article

0) is the 3-sphere, and the lens space L(2,1) is 3 dimensional real projective space. Lens spaces can be represented as Seifert fiber spaces in many

Line bundle (1,913 words) [view diff] exact match in snippet view article find links to article

R P ∞ {\displaystyle \mathbb {R} \mathbf {P} ^{\infty }} , the real projective space given by an infinite sequence of homogeneous coordinates. It carries

Lusternik–Schnirelmann theorem (1,023 words) [view diff] case mismatch in snippet view article find links to article

{RP} ^{n}} , and the Borsuk-Ulam theorem in higher dimensions. Real Projective Space R P n {\displaystyle \mathbb {RP} ^{n}} is defined as the quotient

Finite geometry (2,849 words) [view diff] exact match in snippet view article find links to article

(Beutelspacher & Rosenbaum 1998, pgs. 6–7). Pasch was concerned with real projective space and was attempting to introduce order, which is not a concern of

Euler characteristic (3,566 words) [view diff] exact match in snippet view article find links to article

is, either 0 if n is odd, or 2 if n is even. The n-dimensional real projective space is the quotient of the n-sphere by the antipodal map. It follows

CW complex (3,609 words) [view diff] exact match in snippet view article find links to article

that 0 ≤ k ≤ n {\displaystyle 0\leq k\leq n} . The n-dimensional real projective space. It admits a CW structure with one cell in each dimension. The terminology

Projective polyhedron (2,111 words) [view diff] exact match in snippet view article find links to article

the group. The relevant dimensions are as follows: n-dimensional real projective space is the projectivization of (n+1)-dimensional Euclidean space, R

(G, X)-manifold (1,378 words) [view diff] exact match in snippet view article

{\displaystyle X=\mathbb {P} ^{n}(\mathbb {R} )} is the n-dimensional real projective space and G = P G L n + 1 ( R ) {\displaystyle G=\mathrm {PGL} _{n+1}(\mathbb

Umbilical point (1,617 words) [view diff] exact match in snippet view article find links to article

classes of such cubics under uniform scaling form a three-dimensional real projective space and the subset of parabolic forms define a surface – called the

Seifert fiber space (3,038 words) [view diff] exact match in snippet view article find links to article

group of order 4, except for b=0 when it is a sum of two copies of real projective space, and |b|=1 when it is the lens space with fundamental group of order

Vector bundle (4,281 words) [view diff] exact match in snippet view article find links to article

compact: for example, the tautological line bundle over the infinite real projective space does not have this property. Vector bundles are often given more

Hilbert's fourth problem (3,535 words) [view diff] exact match in snippet view article find links to article

every solution of Hilbert's fourth problem can be represented in a real projective space R P n {\displaystyle RP^{n}} or in a convex domain of R P n {\displaystyle

Fundamental group (8,642 words) [view diff] exact match in snippet view article find links to article

_{1}(Y/G)\cong G.} As an example, the real n {\displaystyle n} -dimensional real projective space R P n {\displaystyle \mathbb {R} \mathrm {P} ^{n}} is obtained as

Multivector (4,882 words) [view diff] exact match in snippet view article find links to article

coordinates of points, called Grassmann coordinates. Points in a real projective space Pn are defined to be lines through the origin of the vector space

Cayley–Klein metric (3,743 words) [view diff] exact match in snippet view article find links to article

projective line, seven in the real projective plane, and 18 in real projective space. All classical non-Euclidean projective spaces as hyperbolic, elliptic

Space (mathematics) (9,312 words) [view diff] exact match in snippet view article

non-compact manifold; a projective space is a compact manifold. In a real projective space a straight line is homeomorphic to a circle, therefore compact,

Homotopy groups of spheres (8,127 words) [view diff] exact match in snippet view article find links to article

Adams spectral sequences from the suspension spectrum of infinite real projective space to the sphere spectrum. It is surjective on the Adams E2 page on