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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Baire spaces and hyperspace topologies
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by László Zsilinszky
Proc. Amer. Math. Soc. 124 (1996), 2575-2584
DOI: https://doi.org/10.1090/S0002-9939-96-03528-9

Abstract:

Sufficient conditions for abstract (proximal) hit-and-miss hyperspace topologies and the Wijsman hyperspace topology, respectively, are given to be Baire spaces, thus extending results of McCoy, Beer, and Costantini. Further the quasi-regularity of (proximal) hit-and-miss topologies is investigated.
References
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Bibliographic Information
  • László Zsilinszky
  • Affiliation: Department of Mathematics, University of Ostrava, Bráfova 7, 701 03 Ostrava, Czech Republic
  • Address at time of publication: Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
  • MR Author ID: 331579
  • Email: zsilin@oudec.osu.cz, zsilinsz@math.sc.edu
  • Received by editor(s): February 1, 1995
  • Communicated by: Franklin D. Tall
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 2575-2584
  • MSC (1991): Primary 54B20; Secondary 54E52
  • DOI: https://doi.org/10.1090/S0002-9939-96-03528-9
  • MathSciNet review: 1343733