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)
• Published : 2006.01.01

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.

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Cited by

1. SOME MANIFOLDS WITH NONZERO EULER CHARACTERISTIC AS PL FIBRATORS vol.29, pp.3, 2007, https://doi.org/10.5831/HMJ.2007.29.3.327