#### 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 $X\to P$, 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
Primary: 57P10
Secondary: 55R99
##### 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