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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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Some examples relating the deleted product to imbeddability
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by Brian R. Ummel PDF
Proc. Amer. Math. Soc. 31 (1972), 307-311 Request permission

Abstract:

Examples are given showing the limitations of the homology of the deleted product in determining the imbeddability of simplicial complexes in a given Euclidean space. It is also proven that the only finite $1$-complexes whose polyhedral deleted products are closed $2$-manifolds are the two primitive skew curves of Kuratowski.
References
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 307-311
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0290349-0
  • MathSciNet review: 0290349