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Reducing towers of principal fibrations

Published online by Cambridge University Press:  22 January 2016

J. F. McClendon
J. F. McClendon*
Affiliation:
Department of Mathematics University of Kansas
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Consider a tower of principal fibrations

That is, Ei+1 is the pullback of Ei→Ri and the path fibration PRi → Ri. The question arises as to whether or not the tower can be shortened, that is, whether or not En+1→ B is fiber homotopically equivalent to a nice fibration E → B. If “nice” is taken to mean “principal” then sufficient conditions are known. They involve connectivity assumptions on the Ei. In this paper “nice” is taken to mean “D-relatively principal” for some space D.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 54 , July 1974 , pp. 149 - 164
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

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