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Encyclopedia results for homology

  1. Homology
    homology
    Wiktionary homology Homology may refer to Homology anthropology , analogy between human beliefs, practices or artifacts due to genetic or historical connections. Homology biology similar structures due ..
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    homology
  2. Homology manifold
    homology
    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 ..
    homology

    homology
  3. Protein homology
    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

    homology
  4. Cyclic homology
    homology
    In homological algebra , cyclic homology and cyclic cohomology are co homology theories for associative ... homology of a ring A over a field of characteristic mathematics characteristic zero, denoted HC sub ..
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    homology
  5. Reduced homology
    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 ..
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    homology
  6. Homology sphere
    homology
    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 ..
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    homology
  7. Simplicial homology
    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

    homology
  8. Floer homology
    homology
    Floer homology is a mathematical tool used in the study of symplectic geometry and low dimensional topology ..., Floer homology is a novel homology theory arising as an infinite dimensional analog of finite dimensional ..
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    homology
  9. Homology theory
    homology
    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 Homology mathematics homology ..
    homology

    homology
  10. Homology (anthropology)
    homology
    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 ..
    homology

    homology
  11. Morse homology
    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 ..
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    homology
  12. K-homology
    homology
    In mathematics , K homology is a homology mathematics homology theory on the Category mathematics category ... mathcal H , F, Gamma . math References N. Higson and J. Roe, Analytic K homology . Oxford University ..
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    homology
  13. Hochschild homology
    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 ..
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    homology
  14. Khovanov homology
    homology
    In mathematics , Khovanov homology is a homology theory for knot mathematics knots and links . It may .... The Khovanov homology of L is then defined as the homology H L of this complex C L , and its graded ..
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    homology
  15. Singular homology
    homology
    In algebraic topology , a branch of mathematics , singular homology refers to the study of a certain set of topological invariant s of a topological space X , the so called homology groups math H n X math ..
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    homology
  16. Relative homology
    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 ..
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    homology
  17. Homology (mathematics)
    homology
    In mathematics especially algebraic topology and abstract algebra , homology in Greek language Greek ... group . See homology theory for more background, or singular homology for a concrete version ..
    homology

    homology
  18. Intersection homology
    homology
    In topology , a branch of mathematics , intersection homology is a generalization of homology theory ... L sup 2 sup cohomology . Goresky MacPherson approach The homology group s of a compact, oriented ..
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    homology
  19. Cellular homology
    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 ..
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    homology
  20. Deep homology
    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 ..
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    homology
  21. Polar homology
    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 Homology mathematics homology of a manifold in differential ..
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    homology
  22. Homology (biology)
    homology
    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 ..
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    homology
  23. Pushforward (homology)
    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

    homology
  24. Homology modeling
    homology
    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

    homology
  25. Homology (sociology)
    homology
    would like to hang on to the notion of homology in a qualified sense. For it seems likely that some ..
    homology

    homology

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