Journal of Mathematical Techniques and Computational Mathematics(JMTCM)
ISSN: 2834-7706 | DOI: 10.33140/JMTCM
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Ribbonness on Classical Link
Abstract
Akio Kawauchi
It is shown that if a link in 3-space bounds a proper oriented surface (without closed component) in the upper half 4-space, then the link bounds a proper oriented ribbon surface in the upper half 4-space which is a renewal embedding of the original surface. In particular, every slice knot is a ribbon knot, answering an old question by R. H. Fox affirmatively