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CONNECTED SUMS OF 4-MANIFOLDS AS CODIMENSION-k FIBRATORS

Published online by Cambridge University Press:  08 August 2003

ROBERT J. DAVERMAN ,
YOUNG HO IM  and
YONGKUK KIM
ROBERT J. DAVERMAN
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300 USA e-mail: daverman@math.utk.edu
YOUNG HO IM
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea e-mail: yongkuk@knu.ac.kr
YONGKUK KIM
Affiliation:
Department of Mathematics Pusan National University, Pusan 609-735, Korea e-mail: yhim@hyowon.pusan.ac.kr
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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.

Keywords

57N1555R65 (primary)57N2554B15 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 206 - 222
Copyright
The London Mathematical Society 2003

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