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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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A nonshrinkable decomposition of $S^{n}$ determined by a null sequence of cellular sets
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by Robert J. Daverman PDF
Proc. Amer. Math. Soc. 75 (1979), 171-176 Request permission

Abstract:

The result derived is one of existence: there is a decomposition of the n-sphere ${S^n}(n \geqslant 5)$ into points and a null sequence of cellular sets that is not shrinkable. In one form the implicit example leads to a nonmanifold decomposition space closely allied with the nonmanifold β€œdogbone” space developed by W. T. Eaton.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 75 (1979), 171-176
  • MSC: Primary 57N15; Secondary 54B15, 57N60
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0529236-5
  • MathSciNet review: 529236