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