Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/34541
 Title: The differentiable chain functor is not homotopy equivalent to the continuous chain functor Author: Guillén Santos, FranciscoNavarro, Vicenç (Navarro Aznar)Pascual, Pere (Pascual i Gainza)Roig Martí, Agustí Keywords: Topologia diferencialTopologia algebraicaÀlgebra homològicaDifferential topologyAlgebraic topologyHomological algebra Issue Date: 1-Jan-2009 Publisher: Elsevier B.V. Abstract: 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. Note: Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.topol.2008.09.005 It is part of: Topology and its Applications, 2009, vol. 156, num. 3, p. 658-660 Related resource: http://dx.doi.org/10.1016/j.topol.2008.09.005 URI: http://hdl.handle.net/2445/34541 ISSN: 0166-8641 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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