The differentiable chain functor is not homotopy equivalent to the continuous chain functor

DOI10.1016/j.topol.2008.09.005zbMath1160.57024OpenAlexW1972684029MaRDI QIDQ1004054

Agustí Roig, Francisco Guillén, Pere Pascual-Gainza, Vicente Navarro Aznar

Publication date: 2 March 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2445/34541

zbMATH Keywords

smooth manifoldssingular homologyhomotopy equivalencehomology equivalencedifferentiable singular chainstransformation of functors

Mathematics Subject Classification ID

Chain complexes (category-theoretic aspects), dg categories (18G35) Chain complexes in algebraic topology (55U15) Singular homology and cohomology theory (55N10) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Godement resolutions and sheaf homotopy theory, A Cartan-Eilenberg approach to homotopical algebra

Cites Work

• Singular homology in differentiable manifolds
• On singular homology in differentiable spaces
• Acyclic Models
• Acyclic Models
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