Homology (mathematics)
In mathematics especially algebraic topology and abstract algebra , homology in Greek language Greek ... mathematics modules with a given mathematical object such as a topological space or a group mathematics ..
Homology
Wiktionary homologyHomology may refer to Homology anthropology , analogy between human beliefs, practices or artifacts due to genetic or historical connections. Homology biology similar structures due ..
Homology manifold
In mathematics , a homology manifold or generalized manifold is a locally compact topological space X that looks locally like a topological manifold from the point of view of homology theory . Definition ..
K-homology
In mathematics , K homology is a homologymathematicshomology theory on the Category mathematics category ... math and math mathcal H ,F 1, Gamma math is a norm mathematics norm Continuous function continuous ..
Cyclic homology homology of a ring A over a field of characteristic mathematics characteristic zero, denoted HC sub ... HomologymathematicsHomologyHomology theory References Alain Connes , Noncommutative differential ..
Reduced homology
In mathematics , reduced homology is a minor modification made to homology theory in algebraic topology , designed to make a point have all its homology group s zero. This change is required to make statements ..
Homology theory
In mathematics , homology theory is the axiom atic study of the intuitive geometric idea of homology of cycles on topological space s. It can be broadly defined as the study of Homologymathematicshomology ..
Simplicial homology
In mathematics , in the area of algebraic topology , simplicial homology is a theory with a finitary definition, and is probably the most tangible variant of homology theory . Simplicial homology concerns ..
Homology sphere
In algebraic topology , a homology sphere is an n manifold X having the homology group s of an n sphere ... group perfect see Hurewicz theorem . A rational homology sphere is defined similarly but we use homology ..
Morse homology
In mathematics , specifically in the field of differential topology , Morse homology is a homology theory ... homology . Morse homology also serves as a model for the various infinite dimensional generalizations ..
Floer homology
the image of this endomophism inside its kernel mathematics kernel . Symplectic Floer homology ...Floer homology is a mathematical tool used in the study of symplectic geometry and low dimensional topology ..
Hochschild homology
In mathematics , Hochschild homology is a homology theory for associative algebra ring theory algebras over ring mathematics rings . There is also a theory for Hochschild homology of certain functor functors ..
Khovanov homology
In mathematics , Khovanov homology is a homology theory for knot mathematics knots and links . It may ... To any knot mathematics link L , we assign the Khovanov bracket nowiki nowiki L nowiki nowiki , a chain ..
Singular homology
In algebraic topology , a branch of mathematics , singular homology refers to the study of a certain ... a singular chain complex . The singular homology is then the homologymathematicshomology of the chain ..
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 ..
Intersection homology
In topology , a branch of mathematics , intersection homology is a generalization of homology theory ... abs math.HO 0701462 The development of intersection homology theory. A century of mathematics in America ..
Cellular homology
In mathematics , cellular homology in algebraic topology is a homology theory for CW complex es. It agrees with singular homology , and can provide an effective means of computing homology modules. If X ..
Polar homology
In complex geometry , a polar homology is a group which captures holomorphic invariants What s that? of a complex manifold in a similar way to usual Homologymathematicshomology of a manifold in differential ..
Protein homology
Protein homology refers to homology biology homology between different proteins, meaning that the proteins ... duplicated in the genome parology . See homology biology for more information. Biochem stub Category ..
Homology (anthropology)
In anthropology and archaeology , homology is a type of analogy whereby two human beliefs, practices ... or history historical connections. Specifically in anthropology, a homology is a structure that is shared ..
Deep homology
In evolutionary developmental biology , the concept of deep homology is used to describe cases where ... that are Homology biology Homology of sequences in genetics homologous and deeply Conserved ..
Homology (biology)
In evolutionary biology , homology has come to mean any similarity between character biology characters ... from the same structure in some ancestor species are homologous. In genetics , homology can be observed ..
Pushforward (homology)
function . Then math f math induces a homomorphism between the homology group s math f H n ... induced by math f math . Definition for singular and simplicial homology We build the pushforward ..
Homology modeling
In protein structure prediction , homology modeling , also known as comparative modeling , is a class ... acid sequence the query sequence or target . Almost all homology modeling techniques rely on the identification ..
Homology (sociology)
would like to hang on to the notion of homology in a qualified sense. For it seems likely that some ..
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