Some properties of ordinary sense slice 1-links: Some answers to problem (26) of Fox

Ogasa, Eiji

doi:10.1090/S0002-9939-98-04299-3

Some properties of ordinary sense slice 1-links: Some answers to problem (26) of Fox
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Proc. Amer. Math. Soc. 126 (1998), 2175-2182 Request permission

Abstract:

We prove that, for any ordinary sense slice 1-link $L$, we can define the Arf invariant, and Arf($L$)=0. We prove that, for any $m$-component 1-link $L_{1}$, there exists a $3m$-component ordinary sense slice 1-link $L_{2}$ of which $L_{1}$ is a sublink.

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