In mathematics, the term homology, originally introduced in algebraic topology, has three primary, closely-related usages. The most direct usage of the...

Look up homology, homological, homologous, or homologue in Wiktionary, the free dictionary. Homology may refer to: Homology (biology), any characteristic...

In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional topology. Floer homology is a novel invariant that arises...

a branch of mathematics, the (singular) homology of a topological space relative to a subspace is a construction in singular homology, for pairs of...

See homology for an introduction to the notation. Persistent homology is a method for computing topological features of a space at different spatial resolutions...

In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1 {\displaystyle n\geq 1} ...

In mathematics, cellular homology in algebraic topology is a homology theory for the category of CW-complexes. It agrees with singular homology, and can...

In mathematics, Khovanov homology is an oriented link invariant that arises as the cohomology of a cochain complex. It may be regarded as a categorification...

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups, usually one associated...

In mathematics, Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology...