Homology of weighted simplicial complexes
Robert J. MacG. Dawson (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Simplicial homology of preconvexity spaces”
Homology of weighted simplicial complexes
Combinatorial homology in a perspective of image analysis.
Grandis, Marco (2003)
Georgian Mathematical Journal
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Comparison of homologies
J. Dugundji (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Topos based homology theory
M. V. Mielke (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we extend the Eilenberg-Steenrod axiomatic description of a homology theory from the category of topological spaces to an arbitrary category and, in particular, to a topos. Implicit in this extension is an extension of the notions of homotopy and excision. A general discussion of such homotopy and excision structures on a category is given along with several examples including the interval based homotopies and, for toposes, the excisions represented by “cutting out” subobjects....
A constructive modification of Vietoris homology
Fred Richman (1976)
Fundamenta Mathematicae
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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...