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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Poincaré duality and fibrations


Author: Daniel Henry Gottlieb
Journal: Proc. Amer. Math. Soc. 76 (1979), 148-150
MSC: Primary 57P10; Secondary 55R05
MathSciNet review: 534407
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Abstract: Let $ F \to E \to B$ be a fibration such that F, E, and B are homotopy equivalent to finite complexes. Then the following fact is proved. E is a Poincaré duality space if and only if B and F are Poincaré duality spaces.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0534407-8
PII: S 0002-9939(1979)0534407-8
Article copyright: © Copyright 1979 American Mathematical Society