Homogeneity by isotopy

Garza, Gene G.

doi:10.1090/S0002-9939-1979-0524321-6

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)

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Homogeneity by isotopy
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by Gene G. Garza PDF

Proc. Amer. Math. Soc. 74 (1979), 379-380 Request permission

Abstract:

Answered is a question asked by Daverman, Bull. Amer. Math. Soc. 84 (1978), 377-405. It is whether a 2-sphere $\Sigma$ is tame if each isotopy on $\Sigma$ extends to an isotopy of ${E^3}$?

References

Robert J. Daverman, Singular regular neighborhoods and local flatness in codimension one, Proc. Amer. Math. Soc. 57 (1976), no. 2, 357–362. MR 420630, DOI 10.1090/S0002-9939-1976-0420630-7
Robert J. Daverman, Embeddings of $(n-1)$-spheres in Euclidean $n$-space, Bull. Amer. Math. Soc. 84 (1978), no. 3, 377–405. MR 645404, DOI 10.1090/S0002-9904-1978-14476-0