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.
Klein, John R  1
@article{10_2140_agt_2005_5_23,
author = {Klein, John R},
title = {Poincar\'e submersions},
journal = {Algebraic and Geometric Topology},
pages = {23--29},
year = {2005},
volume = {5},
number = {1},
doi = {10.2140/agt.2005.5.23},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2005.5.23/}
}
Klein, John R. Poincaré submersions. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 23-29. doi: 10.2140/agt.2005.5.23
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