Please use this identifier to cite or link to this item:
https://hdl.handle.net/2445/34541
Title: | The differentiable chain functor is not homotopy equivalent to the continuous chain functor |
Author: | Guillén Santos, Francisco Navarro, Vicenç (Navarro Aznar) Pascual Gainza, Pere Roig, Agustí |
Keywords: | Topologia diferencial Topologia algebraica Àlgebra homològica Differential topology Algebraic topology Homological 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 |
URI: | https://hdl.handle.net/2445/34541 |
Related resource: | http://dx.doi.org/10.1016/j.topol.2008.09.005 |
ISSN: | 0166-8641 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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