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http://dx.doi.org/10.4134/CKMS.2010.25.2.283

MANIFOLDS WITH TRIVIAL HOMOLOGY GROUPS IN SOME RANGE AS CODIMENSION-K FIBRATORS  

Im, Young-Ho (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.2, 2010 , pp. 283-289 More about this Journal
Abstract
Approximate fibrations provide a useful class of maps. Fibrators give instant detection of maps in this class, and PL fibrators do the same in the PL category. We show that rational homology spheres with some additional conditions are codimension-k PL fibrators and PL manifolds with trivial homology groups in some range can be codimension-k (k > 2) PL fibrators.
Keywords
approximate fibration; degree of a map; codimension-k fibrator; m-fibrator; hopfian manifold; normally cohopfian; sparsely Abelian;
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