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Local Triviality of Fiberings
Proceedings of the American Mathematical Society
Vol. 34, No. 2 (Aug., 1972), pp. 546-552
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2038404
Page Count: 7
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We prove that a Hurewicz fibering or a Serre fibering is locally trivial if the total space is a connected separable metric ANR $n$-gm over a principal ideal domain and the base space is a weakly locally contractible paracompact finite dimensional space, and all fibers are homeomorphic to a space which is a connected 3-manifold with exactly one end and whose one point compactification is a 3-manifold and it has no false 3-cells, in particular a euclidean 3-space.
Proceedings of the American Mathematical Society © 1972 American Mathematical Society