Connected sums of 4-manifolds as codimension-k fibrators

Robert J. Daverman; Young Ho Im; Yongkuk Kim

doi:10.1112/S0024610703004332

Connected sums of 4-manifolds as codimension-k fibrators

Robert J. Daverman, Young Ho Im, Yongkuk Kim

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The main result provides mild conditions under which a closed, orientable, PL 4-manifold N = N₁#N₂ with π₁(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 N⁴, must be an approximate fibration.

Original language	English
Pages (from-to)	206-222
Number of pages	17
Journal	Journal of the London Mathematical Society
Volume	68
Issue number	1
DOIs	https://doi.org/10.1112/S0024610703004332
State	Published - Aug 2003

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abstract = "The main result provides mild conditions under which a closed, orientable, PL 4-manifold N = N1\#N2 with π1(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 N4, must be an approximate fibration.",

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AU - Im, Young Ho

AU - Kim, Yongkuk

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N2 - The main result provides mild conditions under which a closed, orientable, PL 4-manifold N = N1#N2 with π1(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 N4, must be an approximate fibration.

AB - The main result provides mild conditions under which a closed, orientable, PL 4-manifold N = N1#N2 with π1(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 N4, must be an approximate fibration.

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Connected sums of 4-manifolds as codimension-k fibrators

Abstract

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