homology group
31Steinberg group (K-theory) — In algebraic K theory, a field of mathematics, the Steinberg group operatorname{St}(A) of a ring A , is the universal central extension of the commutator subgroup of the stable general linear group.It is named after Robert Steinberg, and is… …
32General homology — Homology Ho*mol o*gy, n. [Gr. ? agreement. See {Homologous}.] 1. The quality of being homologous; correspondence; relation; as, the homologyof similar polygons. [1913 Webster] 2. (Biol.) Correspondence or relation in type of structure in… …
33Serial homology — Homology Ho*mol o*gy, n. [Gr. ? agreement. See {Homologous}.] 1. The quality of being homologous; correspondence; relation; as, the homologyof similar polygons. [1913 Webster] 2. (Biol.) Correspondence or relation in type of structure in… …
34Special homology — Homology Ho*mol o*gy, n. [Gr. ? agreement. See {Homologous}.] 1. The quality of being homologous; correspondence; relation; as, the homologyof similar polygons. [1913 Webster] 2. (Biol.) Correspondence or relation in type of structure in… …
35Mapping class group — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… …
36Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… …
37Intersection homology — In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them… …
38K-homology — In mathematics, K homology is a homology theory on the category of compact Hausdorff spaces. It classifies the elliptic pseudo differential operators acting on the vector bundles over a space. In terms of C^* algebras, it classifies the Fredholm… …
39Relative contact homology — In mathematics, in the area of symplectic topology, relative contact homology is an invariant of spaces together with a chosen subspace. Namely, it is associated to a contact manifold and one of its Legendrian submanifolds. It is a part of a more …
40Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… …
