The differentiable chain functor is not homotopy equivalent to the continuous chain functor
نویسندگان
چکیده
منابع مشابه
The Differentiable Chain Functor Is Not Homotopy Equivalent to the Continuous Chain Functor
Let S∗ and S ∞ ∗ be the functors of continuous and differentiable singular chains on the category of differentiable manifolds. We prove that the natural transformation i : S∞ ∗ −→ S∗, which induces homology equivalences over each manifold, is not a natural homotopy equivalence.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2009
ISSN: 0166-8641
DOI: 10.1016/j.topol.2008.09.005