- relative homology group
- grupa homologii relatywnych
English-Polish dictionary for engineers. 2013.
relative homology group
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Relative homology — In algebraic topology, a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology, for pairs of spaces. The relative homology is useful and important in several ways.… … Wikipedia
Homology (mathematics) — In mathematics (especially algebraic topology and abstract algebra), homology (in Greek ὁμός homos identical ) is a certain general procedure to associate a sequence of abelian groups or modules with a given mathematical object such as a… … Wikipedia
Relative 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 … Wikipedia
Compactly-supported homology — In mathematics, a homology theory in algebraic topology is compactly supported if, in every degree n, the relative homology group Hn(X, A) of every pair of spaces (X, A) is naturally isomorphic to the direct limit of the nth relative homology… … Wikipedia
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 contradistinction … The Collaborative International Dictionary of English
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
Singular homology — In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of topological invariants of a topological space X , the so called homology groups H n(X). Singular homology is a particular example of a… … Wikipedia
Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of … Wikipedia
Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 … Wikipedia
Homotopy group — In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The base point preserving maps from an n dimensional sphere (with base point) into a given space (with base point) are collected into equivalence… … Wikipedia
Cellular homology — In mathematics, cellular homology in algebraic topology is a homology theory for CW complexes. It agrees with singular homology, and can provide an effective means of computing homology modules. If X is a CW complex with n skeleton Xn , the… … Wikipedia
