Unknotting 𝑆¹ in 𝑆⁴

Gluck, Herman

doi:10.1090/S0002-9904-1963-10873-3

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Unknotting $S^1$ in $S^4$
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Bull. Amer. Math. Soc. 69 (1963), 91-94

References

Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113–115. MR 117694, DOI 10.1090/S0002-9904-1960-10420-X
Morton Brown, Locally flat imbeddings of topological manifolds, Ann. of Math. (2) 75 (1962), 331–341. MR 133812, DOI 10.2307/1970177
E. Artin, Quadratische Körper über Polynombereichen Galois’scher Felder und ihre Zetafunktionen, Abh. Math. Sem. Univ. Hamburg 70 (2000), 3–30 (German). MR 1809531, DOI 10.1007/BF02940899
Tatsuo Homma, On the imbedding of polyhedra in manifolds, Yokohama Math. J. 10 (1962), 5–10. MR 154287

Additional Information

Journal: Bull. Amer. Math. Soc. 69 (1963), 91-94
DOI: https://doi.org/10.1090/S0002-9904-1963-10873-3
MathSciNet review: 0142114