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Journal of the London Mathematical Society (1)

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CONNECTED SUMS OF 4-MANIFOLDS AS CODIMENSION-k FIBRATORS
ROBERT J. DAVERMAN, YOUNG HO IM, YONGKUK KIM
Journal:

Journal of the London Mathematical Society / Volume 68 / Issue 1 / August 2003

Published online by Cambridge University Press:

08 August 2003, pp. 206-222

Print publication:

August 2003
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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.