The simplicial bundle of a CW fibration-Reference-Cited by-同舟云学术

The simplicial bundle of a CW fibration

Published:1987 Issue:3 Volume:101 Page:559-562
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barnes Donald W.

Abstract

Suppose we are given a fibration p : E → B p:E \to B over a connected base, with both base and fibre having the homotopy type of CW complexes. We construct a fibre bundle over B B fibre homotopy equivalent to the given fibration and with fibre a simplicial complex. Further, the transformations of the fibre arising from the transition functions of this bundle are simplicial maps. From this, we deduce that the weak spectral sequence constructor axioms are sufficient to determine the Serre spectral sequence of a CW fibration.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-101-03/S0002-9939-1987-0908669-3/S0002-9939-1987-0908669-3.pdf

Reference5 articles.

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4. Construction of universal bundles. I;Milnor, John;Ann. of Math. (2),1956

5. A convenient category of topological spaces;Steenrod, N. E.;Michigan Math. J.,1967

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