dc.contributor.author
Guillén Santos, Francisco
dc.contributor.author
Navarro, Vicenç (Navarro Aznar)
dc.contributor.author
Pascual Gainza, Pere
dc.contributor.author
Roig, Agustí
dc.date.issued
2013-04-12T09:05:54Z
dc.date.issued
2013-04-12T09:05:54Z
dc.date.issued
2009-01-01
dc.date.issued
2013-04-12T09:05:54Z
dc.identifier
https://hdl.handle.net/2445/34541
dc.description.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.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
Elsevier B.V.
dc.relation
Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.topol.2008.09.005
dc.relation
Topology and its Applications, 2009, vol. 156, num. 3, p. 658-660
dc.relation
http://dx.doi.org/10.1016/j.topol.2008.09.005
dc.rights
(c) Elsevier B.V., 2009
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Topologia diferencial
dc.subject
Topologia algebraica
dc.subject
Àlgebra homològica
dc.subject
Differential topology
dc.subject
Algebraic topology
dc.subject
Homological algebra
dc.title
The differentiable chain functor is not homotopy equivalent to the continuous chain functor
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
