PARTIALLY ASHPHERICAL MANIFOLDS WITH NONZERO EULER CHARACTERISTIC AS PL FIBRATORS

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) $\neq$ 0...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 43; no. 1; pp. 99 - 109
Main Authors Im, Young-Ho, Kim, Yong-Kuk
Format Journal Article
LanguageKorean
Published 대한수학회 2006
Subjects
수학
sparsely Abelian
degree of a map
normally cohopfian
Hopfian manifold
codimension-k fibrator
m-fibrator
approximate filbration
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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. We show that every closed s-hopfian t-aspherical manifold N with sparsely Abelian, hopfian fundamental group and X(N) $\neq$ 0 is a codimension-(t + 1) PL fibrator.
Bibliography:KISTI1.1003/JNL.JAKO200614223005292
G704-000208.2006.43.1.003
ISSN:0304-9914
2234-3008