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 Manifolds with trivial homology groups in some range as codimension-$k$ fibrators Commun. Korean Math. Soc. 2010 Vol. 25, No. 2, 283-289 https://doi.org/10.4134/CKMS.2010.25.2.283Published online June 1, 2010 Young Ho Im Pusan National University 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 MSC numbers : Primary 57N15, 55R65; Secondary 57N25, 54B15 Downloads: Full-text PDF