cellular homology

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• Cellular homology — In mathematics, cellular homology in algebraic topology is a homology theory for CW complexes. It agrees with singular homology, and can provide an effective means of computing homology modules. If X is a CW complex with n skeleton Xn , the… …   Wikipedia

• Homology (biology) — For use of the term homologous in reference to chromosomes, see Homologous chromosomes. The principle of homology: The biological derivation relationship (shown by colors) of the various bones in the forelimbs of four vertebrates is known as… …   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

• Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… …   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

• 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

• Pleckstrin homology domain — Pfam box Symbol = PH Name = width =250 caption =PH domain of tyrosine protein kinase BTK Pfam= PF00169 InterPro= IPR001849 SMART= PH PROSITE=PDOC50003 SCOP = 1dyn TCDB = OPM family= 51 OPM protein= 1pls PDB=PDB3|1dynB:520 625 PDB3|2dynA:520 625… …   Wikipedia

• CW complex — In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still… …   Wikipedia

• Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… …   Wikipedia

• Hoffmann-Zeller theorem — The Hoffmann Zeller theorem is a mathematical theorem in the field of algebraic topology. The theorem describes the connection between the simplicial homology products of one equation with the product of a cellular homology equation. B imes A and …   Wikipedia

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia