Simplicial approximation.
Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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Jardine, J.F. (2004)
Theory and Applications of Categories [electronic only]
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Grandis, Marco (2003)
Georgian Mathematical Journal
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Hillman, Jonathan A. (2004)
Algebraic & Geometric Topology
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Marco Grandis (2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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J. Extremiana, L. Hernández, M. Rivas (1989)
Fundamenta Mathematicae
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A. Mutlu, T. Porter (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Semën Podkorytov (2011)
Open Mathematics
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Following a Bendersky-Gitler idea, we construct an isomorphism between Anderson’s and Arone’s complexes modelling the chain complex of a mapping space. This allows us to apply Shipley’s convergence theorem to Arone’s model. As a corollary, we reduce the problem of homotopy equivalence for certain “toy” spaces to a problem in homological algebra.
Timothy Porter (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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R. Seymour (1980)
Fundamenta Mathematicae
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Blass, Andreas (2003)
The Electronic Journal of Combinatorics [electronic only]
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