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space homology

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  • Homology modeling — Homology modeling, also known as comparative modeling of protein refers to constructing an atomic resolution model of the target protein from its amino acid sequence and an experimental three dimensional structure of a related homologous protein… …   Wikipedia

  • Homology sphere — In algebraic topology, a homology sphere is an n manifold X having the homology groups of an n sphere, for some integer n ≥ 1. That is, we have: H 0( X ,Z) = Z = H n ( X ,Z)and : H i ( X ,Z) = {0} for all other i .Therefore X is a connected space …   Wikipedia

  • Homology (mathematics) — In mathematics (especially algebraic topology and abstract algebra), homology (in Greek ὁμός homos identical ) is a certain general procedure to associate a sequence of abelian groups or modules with a given mathematical object such as a… …   Wikipedia

  • Homology theory — In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces. Simple explanation At the… …   Wikipedia

  • 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.DefinitionA homology G manifold (without boundary) of… …   Wikipedia

  • homology — /heuh mol euh jee, hoh /, n., pl. homologies. 1. the state of being homologous; homologous relation or correspondence. 2. Biol. a. a fundamental similarity based on common descent. b. a structural similarity of two segments of one animal based on …   Universalium

  • homology — noun (plural gies) Date: circa 1656 1. a similarity often attributable to common origin 2. a. likeness in structure between parts of different organisms (as the wing of a bat and the human arm) due to evolutionary differentiation from a… …   New Collegiate Dictionary

  • Floer homology — is a mathematical tool used in the study of symplectic geometry and low dimensional topology. First introduced by Andreas Floer in his proof of the Arnold conjecture in symplectic geometry, Floer homology is a novel homology theory arising as an… …   Wikipedia

  • Singular homology — In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of topological invariants of a topological space X , the so called homology groups H n(X). Singular homology is a particular example of a… …   Wikipedia

  • Intersection homology — In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them… …   Wikipedia

  • 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 topological spaces whose building blocks are …   Wikipedia

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