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PL fibrator properties of partially aspherical manifolds |
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| Authors: | Robert J Daverman Young Ho Im Yongkuk Kim |
| Institution: | a Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300, USA b Department of Mathematics, Pusan National University, Pusan 609-735, South Korea c Department of Mathematics, Kyungpook National University, Taegu 702-701, South Korea |
| Abstract: | Approximate fibrations form a useful class of maps. By definition fibrators provide instant detection of maps in this class, and PL fibrators do the same in the PL category. This paper formalizes a natural concept of partial asphericity and establishes fibrator properties of certain partially aspherical closed manifolds. One consequence is that any connected sum of aspherical PL manifolds with residually finite fundamental groups is a codimension-(2n−2) PL fibrator. |
| Keywords: | Approximate fibration Degree of a map Codimension-k fibrator m-fibrator Hopfian manifold Normally cohopfian Sparsely Abelian |
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