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http://dx.doi.org/10.4134/JKMS.2006.43.1.099

PARTIALLY ASHPHERICAL MANIFOLDS WITH NONZERO EULER CHARACTERISTIC AS PL FIBRATORS  

Im, Young-Ho (Department of Mathematics Pusan National University)
Kim, Yong-Kuk (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 99-109 More about this Journal
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) $\neq$ 0 is a codimension-(t + 1) PL fibrator.
Keywords
approximate filbration; degree of a map; codimension-k fibrator; m-fibrator; Hopfian manifold; normally cohopfian; sparsely Abelian;
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