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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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Embedding and unknotting of some polyhedra
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by K. S. Sarkaria PDF
Proc. Amer. Math. Soc. 100 (1987), 201-203 Request permission

Abstract:

If a compact polyhedron ${X^n},n \geq 3$ (resp. $n \geq 2$), has the property that any two of its nonsingular points can be joined by an arc containing at most one singular point, then ${X^n}$ embeds in ${{\mathbf {R}}^{2n}}$ (resp. unknots in ${{\mathbf {R}}^{2n + 1}}$).
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 100 (1987), 201-203
  • MSC: Primary 57Q35; Secondary 57Q37
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0883429-0
  • MathSciNet review: 883429