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

In biology, homology is similarity due to shared ancestry between a pair of structures or genes in different taxa. A common example of homologous structures...

Borel–Moore homology Cellular homology Cyclic homology Hochschild homology Floer homology Intersection homology K-homology Khovanov homology Morse homology Persistent...

Sequence homology is the biological homology between DNA, RNA, or protein sequences, defined in terms of shared ancestry in the evolutionary history of...

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

(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...

Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology of certain...

topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H n ( X )...

In algebraic topology, simplicial homology is the sequence of homology groups of a simplicial complex. It formalizes the idea of the number of holes 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...