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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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Separation by finite sets in connected, continuous images of ordered compacta
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by L. B. Treybig PDF
Proc. Amer. Math. Soc. 74 (1979), 326-328 Request permission

Abstract:

In this paper we answer a question of Mardešić by showing that if the points x and y lie in a continuum M which is the continuous image of a compact ordered space, but x and y lie in no metric subcontinuum of M, then x and y are separated in M by a finite set.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 74 (1979), 326-328
  • MSC: Primary 54F20; Secondary 54C05, 54F05, 54F50
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0524311-3
  • MathSciNet review: 524311