Poincaré duality and fibrations
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- by Daniel Henry Gottlieb PDF
- Proc. Amer. Math. Soc. 76 (1979), 148-150 Request permission
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.References
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- C. T. C. Wall, Surgery of non-simply-connected manifolds, Ann. of Math. (2) 84 (1966), 217–276. MR 212827, DOI 10.2307/1970519
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 148-150
- MSC: Primary 57P10; Secondary 55R05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534407-8
- MathSciNet review: 534407