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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 characterization of $\sigma$-symmetrically porous symmetric Cantor sets
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by Michael J. Evans, Paul D. Humke and Karen Saxe PDF
Proc. Amer. Math. Soc. 122 (1994), 805-810 Request permission

Abstract:

The purpose of this paper is to characterize those symmetric Cantor sets which are $\sigma$-symmetrically porous in terms of a defining sequence of deleted proportions. In contrast to other notions of porosity, a symmetric Cantor set can be $\sigma$-symmetrically porous without being symmetrically porous.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 805-810
  • MSC: Primary 26A03
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1205490-X
  • MathSciNet review: 1205490