Title:
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The differentiable chain functor is not homotopy equivalent to the continuous chain functor
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Author:
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Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual, Pere (Pascual i Gainza); Roig Martí, Agustí
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Other authors:
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Universitat de Barcelona |
Abstract:
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Let $S_*$ and $S_*^\{infty}$ be the functors of continuous and differentiable singular chains on the category of differentiable manifolds. We prove that the natural transformation $i: S_*^\infty \rightarrow S_*$, which induces homology equivalences over each manifold, is not a natural homotopy equivalence. |
Subject(s):
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-Topologia diferencial -Topologia algebraica -Àlgebra homològica -Differential topology -Algebraic topology -Homological algebra |
Rights:
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(c) Elsevier B.V., 2009
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Document type:
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Article Article - Accepted version |
Published by:
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Elsevier B.V.
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