Successive homology operations and their applications

Su-Cheng Chang

Displaying similar documents to “Successive homology operations and their applications”

Combinatorial homology in a perspective of image analysis.

Grandis, Marco (2003)

Georgian Mathematical Journal

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Homology theory in the AST II. Basic concepts, Eilenberg-Steenrod's axioms

Jaroslav Guričan (1992)

Commentationes Mathematicae Universitatis Carolinae

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Homology functor in the spirit of the AST is defined, its basic properties are studied. Eilenberg-Steenrod axioms for this functor are formulated and established.

Effective homology for homotopy colimit and cofibrant replacement

Marek Filakovský (2014)

Archivum Mathematicum

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We extend the notion of simplicial set with effective homology presented in [22] to diagrams of simplicial sets. Further, for a given finite diagram of simplicial sets $X : ℐ \to sSet$ such that each simplicial set $X (i)$ has effective homology, we present an algorithm computing the homotopy colimit $hocolim X$ as a simplicial set with effective homology. We also give an algorithm computing the cofibrant replacement $X^{cof}$ of $X$ as a diagram with effective homology. This is applied to computing of equivariant cohomology...

Homology fibrations and “group-completion” revisited.

Pitsch, Wolfgang, Scherer, Jérôme (2004)

Homology, Homotopy and Applications

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Homology cylinders: an enlargement of the mapping class group.

Levine, Jerome (2001)

Algebraic & Geometric Topology

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