PL fibrator properties of partially aspherical manifolds

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 aspher...

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Bibliographic Details
Published inTopology and its applications Vol. 140; no. 2; pp. 181 - 195
Main Authors Daverman, Robert J., Im, Young Ho, Kim, Yongkuk
Format Journal Article
LanguageEnglish
Published Elsevier B.V 28.05.2004
Subjects
Approximate fibration
Codimension- k fibrator
Degree of a map
Hopfian manifold
m-fibrator
Normally cohopfian
Sparsely Abelian
Sparsely Abelian
Degree of a map
Hopfian manifold
Normally cohopfian
Approximate fibration
Codimension- k fibrator
m-fibrator
.
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Summary: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-(2 n−2) PL fibrator.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2003.07.016