Algebraic and Geometric Topology 5 (2005), paper no. 2, pages 23-29.

Poincare submersions

John R. Klein

Abstract. We prove two kinds of fibering theorems for maps X --> P, where X and P are Poincare spaces. The special case of P = S^1 yields a Poincare duality analogue of the fibering theorem of Browder and Levine.

Keywords. Poincare duality space, fibration

AMS subject classification. Primary: 57P10. Secondary: 55R99.

DOI: 10.2140/agt.2005.5.23

E-print: arXiv:math.AT/0411351

Submitted: 15 November 2004. Accepted: 5 January 2005. Published: 7 January 2005.
Corrected: 22 June 2005 (see footnote on page 24).

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John R. Klein
Department of Mathematics, Wayne State University
Detroit, MI 48202, USA

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