Browse > Article
http://dx.doi.org/10.4134/BKMS.2006.43.4.841

PL FIBRATORS AMONG PRODUCTS OF HOPFIAN MANIFOLDS  

Jeoung, Chang-Sik (DEPARTMENT OF MATHEMATICS, KYUNGPOOK NATIONAL UNIVERSITY)
Kim, Yong-Kuk (DEPARTMENT OF MATHEMATICS, KYUNGPOOK NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 841-846 More about this Journal
Abstract
Suppose that F is a closed t-aspherical PL n-manifold with finite, sparsely abelian ${\pi}_1(F)$ and A is a closed aspherical PL m-manifold with hopfian, normally cohopfian ${\pi}_1(A)$. If $X(F){\neq}0{\neq}X(A)$, then $F{\times}A$ is a codimension-(t+1) PL fibrator.
Keywords
approximate fibration; codimensiion-k fibrator;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 R. J. Daverman, Submanifold decompositions that induce approximate fibrations, Topology Appl. 33 (1989), no. 2, 173-184   DOI   ScienceOn
2 R. J. Daverman, Hyperbolic groups are hyper-Hopfian, J. Austral. Math. Soc. Ser. A 68 (2000), no. 1, 126-130   DOI
3 R. J. Daverman, Y. H. Im, and Y. Kim, Products of Hopfian manifold and codimension-2 fibrators, Topology Appl. 103 (2000), no. 3, 323-338   DOI   ScienceOn
4 R. J. Daverman, Y. H. Im, and Y. Kim, PL fibrator properties of partially aspherical manifolds, Topology Appl. 140 (2004), no. 2-3, 181-195   DOI   ScienceOn
5 G. Baumslag and D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199-201   DOI
6 Y. Kim, Manifolds with hyperHopfian fundamental group as codimension-2 fibrators, Topology Appl. 96 (1999), no. 3, 241-248   DOI   ScienceOn
7 S. Rosset, A vanishing theorem for Euler characteristics, Math. Z. 185 (1984), no. 2, 211-215   DOI
8 J. Thevenaz, Maximal subgroups of direct products, J. Algebra 198 (1997), no. 2, 352-361   DOI   ScienceOn
9 Y. Kim, Strongly Hopfian manifolds as codimension-2 fibrators, Topology Appl. 92 (1999), no. 3, 237-245   DOI   ScienceOn