Combinatorial homology in a perspective of image analysis.
Grandis, Marco (2003)
Georgian Mathematical Journal
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Displaying similar documents to “Successive homology operations and their applications”
Combinatorial homology in a perspective of image analysis.
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 such that each simplicial set has effective homology, we present an algorithm computing the homotopy colimit as a simplicial set with effective homology. We also give an algorithm computing the cofibrant replacement of 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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