Connected sums of manifolds which induce approximate fibrations

Author:

Kim Yongkuk

Abstract

Codimension-2 fibrators are n n -manifolds which automatically induce approximate fibration, in the following sense: given any proper mapping p p from an ( n + 2 ) (n+2) -manifold onto a 2 2 -manifold such that each point-preimage is a copy of the codimension-2 fibrator, p p is necessarily an approximate fibration. In this paper, we give some answers to the following question: given an n n -manifold N N which is a nontrivial connected sum, when is N N a codimension-2 fibrator?

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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1. MANIFOLDS WITH TRIVIAL HOMOLOGY GROUPS IN SOME RANGE AS CODIMENSION-K FIBRATORS;Communications of the Korean Mathematical Society;2010-04-30

2. Special manifolds and shape fibrator properties;Topology and its Applications;2006-09

3. CONNECTED SUMS OF 4-MANIFOLDS AS CODIMENSION-k FIBRATORS;Journal of the London Mathematical Society;2003-08

4. Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators;Proceedings of the American Mathematical Society;2000-12-13

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