Aug 16, 2010 ... Numerable open covers form a site called the numerable site. Many classical theorems concerning bundles are stated for the numerable site.
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of Dold is that we have to consider numerable coverings of a space X which are ... A covering (E03B1|03B1 E A) of a space E is called numerable if there exists ...
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if there is a numerable covering {Bi} of B such that the restricted bundle q−1Bi −→ Bi is trivial for each i. Definition 4. We say that a map q: E −→ B is a numerable ...
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a numerable covering of h -colim F and the canonical contraction of St(v) to ... of the homotopy type of X and a numerable covering (W, X1, ...,. Xk) of X' such that ...
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over every set of a numerable covering { Vj},A of B. Numerable means there exists a locally finite partition of unity wy: By [0, 1], or e F, such that the covering ...
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property with respect to B. More precisely, P holds provided it holds over every set of a numerable covering {V,[},(e,( of B. Nurnerable means there exists a locally ...
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The base space of any numerable principal G-bundle is of the sme homotopy type as the Borel space of the bundle. 2. The nerve of a numerable covering 092 of ...
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%-fibre space, which satisfies the local triviality condition with respect to a numerable covering is called a principal %-fibration. For every category of fibres T ...
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Čech cohomology - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/%C4%8Cech_cohomology
A variant of Čech cohomology, called numerable Čech cohomology, is defined as above, except that all open covers considered are required to be numerable: ... |
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-cat(X) of a space X to be the smallest integer k for which there exists a numerable covering. (Xl' ... ,Xk ) of X such that each inclusion Xj C X factors through some ...
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