Colocalizations and their realizations as spectra.
Bauer, Friedrich W. (2002)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Tensor products of spectra and localizations.”
Colocalizations and their realizations as spectra.
The Boardman category of spectra, chain complexes and (co)-localizations.
Bauer, Friedrich W. (1999)
Homology, Homotopy and Applications
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Chain functors with isomorphic homology.
Bauer, Friedrich W. (2001)
Homology, Homotopy and Applications
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Note on normal sequences of chain complexes
Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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Homology with models
Daryl George (1984)
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...
Absolute homology.
Barr, Michael (2005)
Theory and Applications of Categories [electronic only]
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A colored 𝔰𝔩(N) homology for links in S³
Hao Wu
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Fix an integer N ≥ 2. To each diagram of a link colored by 1,...,N we associate a chain complex of graded matrix factorizations. We prove that the homotopy type of this chain complex is invariant under Reidemeister moves. When every component of the link is colored by 1, this chain complex is isomorphic to the chain complex defined by Khovanov and Rozansky. The homology of this chain complex decategorifies to the Reshetikhin-Turaev 𝔰𝔩(N) polynomial of links colored by exterior powers...
Foundations of Vietoris homology theory with applications to non-compact spaces
Robert E. Reed
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CONTENTSPreface...................................................................................................................................... 5I. Introduction............................................................................................................................ 7II. Simple chains 2.1. Simplexes............................................................................................................ 12 2.2. Chains..............................................................................................................................
On strong chain recurrence for maps
Katsuya Yokoi (2015)
Annales Polonici Mathematici
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This paper is concerned with strong chain recurrence introduced by Easton. We investigate the depth of the transfinite sequence of nested, closed invariant sets obtained by iterating the process of taking strong chain recurrent points, which is a related form of the central sequence due to Birkhoff. We also note the existence of a Lyapunov function which is decreasing off the strong chain recurrent set. As an application, we give a necessary and sufficient condition for the coincidence...
Effective chain complexes for twisted products
Marek Filakovský (2012)
Archivum Mathematicum
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In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product to a chain complex of free finitely generated abelian groups are found.