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Algebraic and Geometric Surgery$
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Andrew Ranicki

Print publication date: 2002

Print ISBN-13: 9780198509240

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198509240.001.0001

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POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

Chapter:
(p.193) 9 POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS
Source:
Algebraic and Geometric Surgery
Author(s):

Andrew Ranicki

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509240.003.0009

A Poincaré complex is a space with Poincaré duality. Spherical fibrations are the homotopy theoretic analogues of vector bundles. The Spivak normal fibration is the homotopy theoretic analogue of the normal bundle of a manifold.

Keywords:   Poincaré duality, spherical fibrations, Spivak normal fibration

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