A trivial link with no linear unlinking

Knoblauch, Tom

doi:10.1090/S0002-9939-1986-0826507-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A trivial link with no linear unlinking
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by Tom Knoblauch PDF

Proc. Amer. Math. Soc. 96 (1986), 709-714 Request permission

Abstract:

Not every relative link (finite collection of disjoint polygonal spanning arcs of a cube) that is trivial allows a linear unlinking.

References

Robert Connelly, David W. Henderson, Chung Wu Ho, and Michael Starbird, On the problems related to linear homeomorphisms, embeddings, and isotopies, Continua, decompositions, manifolds (Austin, Tex., 1980) Univ. Texas Press, Austin, Tex., 1983, pp. 229–239. MR 711994
Michael Starbird, A complex which cannot be pushed around in $E^{3}$, Proc. Amer. Math. Soc. 63 (1977), no. 2, 363–367. MR 442945, DOI 10.1090/S0002-9939-1977-0442945-X