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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note concerning the $ 3$-manifolds which span certain surfaces in the $ 4$-ball


Author: Bruce Trace
Journal: Proc. Amer. Math. Soc. 102 (1988), 177-182
MSC: Primary 57M25,; Secondary 57Q45
DOI: https://doi.org/10.1090/S0002-9939-1988-0915740-X
MathSciNet review: 915740
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Abstract: We consider surfaces of the form $ F{ \cup _K}D$ where $ F$ is a Seifert surface and $ D$ is a slicing disk for the knot $ K$. We show that, in general, there is no $ 3$-manifold $ M$ which spans $ F{ \cup _K}D$ in the $ 4$-ball such that $ F$ can be compressed to a disk in $ M$.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0915740-X
Article copyright: © Copyright 1988 American Mathematical Society