Rational model of the subspace complement on atomic complexes.

Yuzvinsky, Sergey

Displaying similar documents to “Rational model of the subspace complement on atomic complexes.”

Homotopy and homology of finite lattices.

Blass, Andreas (2003)

The Electronic Journal of Combinatorics [electronic only]

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Geometrically constructed bases for homology of non-crossing partition lattices.

Kenny, Aisling (2009)

The Electronic Journal of Combinatorics [electronic only]

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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 $X : ℐ \to sSet$ 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...