International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 815-818

Codimension 2 fibrators that are closed under finite product

Young Ho Im,1 Mee Kwang Kang,2 and Ki Mun Woo1

1Department of Mathematics, Pusan National University, Pusan 609-735, Korea
2Department of Mathematics, Dongeui University, Pusan 614-714, Korea

Received 14 March 1996; Revised 5 June 1996

Copyright © 1998 Young Ho Im et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, we show that if Nm is a closed manifold with hyperhopfian fundamental group, πi(N)=0 for 1<in and Sn is a simply connected manifold, then Nm×Sn satisfies the property that all proper, surjective maps from an orientable (n+2)-manifold M to a 2-manifold B for which each p1(b) is homotopy equivalent to Nm×Sn necessarily are approximate fibrations.