The complex of words and Nakaoka stability.
Kerz, Moritz C. (2005)
Homology, Homotopy and Applications
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Displaying similar documents to “Computing homology.”
The complex of words and Nakaoka stability.
Induced mappings of homology decompositions
Martin Arkowitz (1998)
Banach Center Publications
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We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces which are compatible with the homology sections and dual Postnikov invariants. Several applications of this result are obtained. We show how the homotopy type of the (n+1)st homology section depends on the homotopy type of the nth homology section and the (n+1)st homology group. We prove that all homology sections of a co-H-space are co-H-spaces, all n-equivalences of the homology decomposition...
The Vietoris system in strong shape and strong homology
Bernd Günther (1992)
Fundamenta Mathematicae
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We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology. ...
Inequilogical spaces, directed homology and noncommutative geometry.
Grandis, Marco (2004)
Homology, Homotopy and Applications
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On the Connes operator in Hochschild homology.
Ndombol, Bitjong (2005)
AMA. Algebra Montpellier Announcements [electronic only]
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On constructing resolutions over the polynomial algebras.
Johansson, Leif, Lambe, Larry, Sköldberg, Emil (2002)
Homology, Homotopy and Applications
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Homology fibrations and “group-completion” revisited.
Pitsch, Wolfgang, Scherer, Jérôme (2004)
Homology, Homotopy and Applications
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An algebraic model of fibration with the fiber -space.
Berikashvili, N. (1996)
Georgian Mathematical Journal
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Computation of cohomology operations on finite simplicial complexes.
González-Díaz, R., Real, P. (2003)
Homology, Homotopy and Applications
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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...