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...

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

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

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

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

cyclic homology and cyclic cohomology are certain (co)homology theories for associative algebras which generalize the de Rham (co)homology of manifolds...

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

Homology modeling, also known as comparative modeling of protein, refers to constructing an atomic-resolution model of the "target" protein from its amino...

some homology theory, usually singular homology. Homology manifolds are the same as homology Z-manifolds. More generally, one can define homology manifolds...

Serial homology is a special type of homology, defined by Owen as "representative or repetitive relation in the segments of the same organism." Ernst Haeckel...

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 )...

algebraic topology and category theory, factorization homology is a variant of topological chiral homology, motivated by an application to topological quantum...

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...

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

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 algebraic topology and graph theory, graph homology describes the homology groups of a graph, where the graph is considered as a topological space...

(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...

Src homology domain is one of the two small protein binding domains found in the Src oncoprotein. Homologs of both the Src homology 2 and Src homology 3...

mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using...

In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well-suited for the study of singular spaces...

In evolutionary developmental biology, the concept of deep homology is used to describe cases where growth and differentiation processes are governed by...

In mathematics, chiral homology, introduced by Alexander Beilinson and Vladimir Drinfeld, is, in their words, "a “quantum” version of (the algebra of functions...

In mathematics, the Suslin homology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by Suslin and...

Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose origins...

relating the homology of two objects to the homology of their product. The classical statement of the Künneth theorem relates the singular homology of two topological...

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

grouping (clade) of proteins for which common ancestry can be inferred (see homology). Usually this common ancestry is inferred from structural alignment and...

Pleckstrin homology domain containing A4 is a protein that in humans is encoded by the PLEKHA4 gene. This gene encodes a pleckstrin homology (PH) domain-containing...

between homology groups (or cohomology groups) with different coefficients. For instance, for every topological space X, its integral homology groups:...