PL fibrator properties of partially aspherical manifolds

Robert J. Daverman; Young Ho Im; Yongkuk Kim

doi:10.1016/j.topol.2003.07.016

PL fibrator properties of partially aspherical manifolds

Robert J. Daverman, Young Ho Im, Yongkuk Kim

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3 Scopus citations

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.

Original language	English
Pages (from-to)	181-195
Number of pages	15
Journal	Topology and its Applications
Volume	140
Issue number	2-3
DOIs	https://doi.org/10.1016/j.topol.2003.07.016
State	Published - 28 May 2004

Keywords

Approximate fibration
Codimension-k fibrator
Degree of a map
Hopfian manifold
m-fibrator
Normally cohopfian
Sparsely Abelian

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10.1016/j.topol.2003.07.016

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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, Codimension-k fibrator, Degree of a map, Hopfian manifold, m-fibrator, Normally cohopfian, Sparsely Abelian",

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AU - Daverman, Robert J.

AU - Im, Young Ho

AU - Kim, Yongkuk

PY - 2004/5/28

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N2 - 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.

AB - 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.

KW - Approximate fibration

KW - Codimension-k fibrator

KW - Degree of a map

KW - Hopfian manifold

KW - m-fibrator

KW - Normally cohopfian

KW - Sparsely Abelian

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SP - 181

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JO - Topology and its Applications

JF - Topology and its Applications

IS - 2-3

ER -

PL fibrator properties of partially aspherical manifolds

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Keywords

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