Note on quasifibrations and manifolds
Author:
Ralph Stöcker
Journal:
Proc. Amer. Math. Soc. 43 (1974), 219-225
MSC:
Primary 55F15
DOI:
https://doi.org/10.1090/S0002-9939-1974-0334204-8
MathSciNet review:
0334204
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a closed
-manifold which is the total space of a quasifibration over
with fibre
. Then, in many cases,
has the homotopy type of an orthogonal
-bundle over
. The proof includes a classification theorem for certain quasifibrations which has further applications.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0334204-8
Keywords:
Quasifibration,
manifold,
orthogonal bundle,
fibre homotopy type
Article copyright:
© Copyright 1974
American Mathematical Society