Volume 5, issue 1 (2005)

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Poincaré submersions

John R Klein

Algebraic & Geometric Topology 5 (2005) 23–29

arXiv: math.AT/0411351

Abstract

We prove two kinds of fibering theorems for maps X P, where X and P are Poincaré spaces. The special case of P = S1 yields a Poincaré duality analogue of the fibering theorem of Browder and Levine.

Keywords
Poincaré duality space, fibration
Mathematical Subject Classification 2000
Primary: 57P10
Secondary: 55R99
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Publication
Received: 15 November 2004
Revised: 22 June 2005
Accepted: 5 January 2005
Published: 7 January 2005
Authors
John R Klein
Department of Mathematics
Wayne State University
Detroit MI 48202
USA