PARTIALLY ASHPHERICAL MANIFOLDS WITH NONZERO EULER CHARACTERISTIC AS PL FIBRATORS Im, Young-Ho; Kim, Yong-Kuk;
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.
approximate filbration;degree of a map;codimension-k fibrator;m-fibrator;Hopfian manifold;normally cohopfian;sparsely Abelian;