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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 coabsoluteness for a class of metric spaces
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by Catherine Gates PDF
Proc. Amer. Math. Soc. 80 (1980), 499-504 Request permission

Abstract:

All regular Hausdorff topological spaces can be partitioned into classes of coabsolute spaces. It is shown that in studying the coabsolute classes, only two types of spaces need to be considered: (i) those spaces which have a dense subset of locally compact points and (ii) nowhere locally compact spaces. The absolute of a space is the disjoint union of the absolute of a space of type (i) and the absolute of a space of type (ii). A characterization of the coabsolute subclasses is given for a class of metric spaces of type (i).
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 80 (1980), 499-504
  • MSC: Primary 54D40; Secondary 54G05
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0581014-5
  • MathSciNet review: 581014