Locally definable homotopy
نویسندگان
چکیده
منابع مشابه
Locally definable homotopy
In [2] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in ∨ -definable groups – which are examples of locally definable spaces. We s...
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Let η = (E, p, Y, F, K) be a locally definable fiber bundle and f, h : X → Y two locally definable maps. If f and h are locally definably homotopic, then f ∗(η) and h∗(η) are locally definably fiber bundle isomorphic. 2000 Mathematics Subject Classification. 14P10, 14P20, 03C64.
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zw Let G be a finite abelian group and 1 ≤ r < ∞. We prove that every locally definable CG manifold admits a unique locally definable C∞G manifold structure up to locally definable C∞G diffeomorphism. zh 2000 Mathematics Subject Classification. 14P10, 14P20, 57S05, 57S15, 58A05, 58A07, 03C64.
متن کامل2 Preliminaries on locally definable spaces
In [2] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in W -definable groups – which are examples of locally definable spaces. We s...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2010
ISSN: 0168-0072
DOI: 10.1016/j.apal.2009.03.003