Computing homology.
Kaczynski, Tomasz, Mischaikow, Konstantin, Mrozek, Marian (2003)
Homology, Homotopy and Applications
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Displaying similar documents to “Computation of cohomology operations on finite simplicial complexes.”
Computing homology.
Non-abelian cohomology via parity quasi-complexes.
Ionescu, Lucian M. (2004)
Homology, Homotopy and Applications
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More about the (co)homology of groups and associative algebras.
Inassaridze, Hvedri (2005)
Homology, Homotopy and Applications
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Invariance proof of simplicial homology and cohomology groups without using subdivisions or axiomatic approach
Hu, Sze-Tsen (1970)
Portugaliae mathematica
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Pairings, duality, amenability and bounded cohomology
Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
Cochain operations and higher cohomology operations
Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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The cohomology ring of free loop spaces.
Menichi, Luc (2001)
Homology, Homotopy and Applications
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Isomorphic cohomology Yields isomorphic homology.
Marek Golasinksi, D. Lima Goncalves (1997)
Manuscripta mathematica
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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...
On a theorem of Borsuk
J. Moore (1956)
Fundamenta Mathematicae
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The Hochschild cohomology ring of the singular cochain algebra of a space
Katsuhiko Kuribayashi (2011)
Annales de l’institut Fourier
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We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra. A spectral sequence calculation of the Hochschild cohomology is also described. In particular, when the underlying field is of characteristic two, we determine the associated bigraded Batalin-Vilkovisky algebra structure on the Hochschild cohomology of the singular cochain on a space whose cohomology is an exterior...