Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-05T04:55:59.300Z Has data issue: false hasContentIssue false

CONNECTED SUMS OF 4-MANIFOLDS AS CODIMENSION-k FIBRATORS

Published online by Cambridge University Press:  08 August 2003

ROBERT J. DAVERMAN
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300 USA e-mail: [email protected]
YOUNG HO IM
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea e-mail: [email protected]
YONGKUK KIM
Affiliation:
Department of Mathematics Pusan National University, Pusan 609-735, Korea e-mail: [email protected]
Get access

Abstract

The main result provides mild conditions under which a closed, orientable, PL 4-manifold $N = N_1\,\#\,N_2$ with $\pi_1(N_e)$ residually finite ($e=1,2$) is a codimension-5 PL fibrator. The paper also presents a rich variety of conditions on a closed 4-manifold $N^4$ under which every PL map between manifolds, where the domain is orientable and all point inverses are copies of $N^4$, must be an approximate fibration.

Type
Notes and Papers
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)