Geometrically constructed bases for homology of non-crossing partition lattices.
Kenny, Aisling (2009)
The Electronic Journal of Combinatorics [electronic only]
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Kenny, Aisling (2009)
The Electronic Journal of Combinatorics [electronic only]
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Grandis, Marco (2003)
Georgian Mathematical Journal
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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...
Yuzvinsky, Sergey (1999)
Publications de l'Institut Mathématique. Nouvelle Série
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Pitsch, Wolfgang, Scherer, Jérôme (2004)
Homology, Homotopy and Applications
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J. Dugundji (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.