Poincaré submersions

Klein, John R

doi:10.2140/agt.2005.5.23

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Poincaré submersions

John R Klein

Algebraic & Geometric Topology 5 (2005) 23–29

DOI: 10.2140/agt.2005.5.23

arXiv: math.AT/0411351

Abstract

We prove two kinds of fibering theorems for maps $X \to P$ , where $X$ and $P$ are Poincaré spaces. The special case of $P = S^{1}$ 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

Volume 5, issue 1 (2005)