[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.2.367

NECESSARY AND SUFFICIENT CONDITIONS FOR CODIMENSION-k MAPS TO BE APPROXIMATE FIBRATIONS

Im, Young-Ho (Department of Mathematics Pusan National University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.2, 2003 , pp. 367-374 More about this Journal

Abstract

Let N be a Closed n-manifold with residually finite, torsion free $\pi$ $_1$ (N) and finite H $_1$ ,(N). Suppose that $\pi$ $\_$ k/(N)=0 for 1 < k < n-1. We show that N is a codimension-n PL fibrator if and only if N does not cover itself regularly and cyclically up to homotopy type, provided $\pi$ $_1$ (N) satisfies a certain condition.

Keywords

residually finite group; hopfian manifold; approximate fibration;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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