Partially ashpherical manifolds with nonzero euler characteristic as PL fibrators

Young Ho Im; Yongkuk Kim

doi:10.4134/JKMS.2006.43.1.099

Partially ashpherical manifolds with nonzero euler characteristic as PL fibrators

Young Ho Im, Yongkuk Kim

Pusan National University

Research output: Contribution to journal › Article › peer-review

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. We show that every closed s-hopfian t-aspherical manifold N with sparsely Abelian, hopfian fundamental group and _x(N) ≠ 0 is a codimension-(t + 1) PL fibrator.

Original language	English
Pages (from-to)	99-109
Number of pages	11
Journal	Journal of the Korean Mathematical Society
Volume	43
Issue number	1
DOIs	https://doi.org/10.4134/JKMS.2006.43.1.099
State	Published - Jan 2006

Keywords

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

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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. We show that every closed s-hopfian t-aspherical manifold N with sparsely Abelian, hopfian fundamental group and x(N) ≠ 0 is a codimension-(t + 1) PL fibrator.",

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KW - Codimension-k fibrator

KW - Degree of a map

KW - Hopfian manifold

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KW - Normally cohopfian

KW - Sparsely Abelian

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Partially ashpherical manifolds with nonzero euler characteristic as PL fibrators

Abstract

Keywords

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