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ArticleOriginal scientific text

Title

Hopfian and strongly hopfian manifolds

Authors 1, 2

Affiliations

  1. Department of Mathematics, Pusan National University, Pusan, 609-735, South Korea
  2. Department of Mathematics, The University of Tennessee at Knoxville, Knoxville, Tennessee 37996-1300, U.S.A.

Abstract

Let p: M → B be a proper surjective map defined on an (n+2)-manifold such that each point-preimage is a copy of a hopfian n-manifold. Then we show that p is an approximate fibration over some dense open subset O of the mod 2 continuity set C' and C' ∖ O is locally finite. As an application, we show that a hopfian n-manifold N is a codimension-2 fibrator if χ(N) ≠ 0 or H1(N)≅ℤ2

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Fundamenta Mathematicae
1999/159/2
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Pages:
127-134
Main language of publication
English
Received
1998-03-26
Accepted
1998-08-26
Published
1999
Exact and natural sciences