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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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On linearly Lindelöf and strongly discretely Lindelöf spaces
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by A. V. Arhangel’skii and R. Z. Buzyakova PDF
Proc. Amer. Math. Soc. 127 (1999), 2449-2458 Request permission

Abstract:

We prove that the cardinality of every first countable linearly Lindelöf Tychonoff space does not exceed $2^{\omega }$, and every strongly discretely Lindelöf Tychonoff space of countable tightness is Lindelöf.
References
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Additional Information
  • A. V. Arhangel’skii
  • Affiliation: July–December: Department of Mathematics, Moscow State University, Moscow 119899, Russia; January–June: Department of Mathematics, Ohio State University, Athens, Ohio 45701
  • Email: arhangel@nw.math.msu.su, arhangel@bing.math.ohiou.edu
  • R. Z. Buzyakova
  • Affiliation: Chair of General Topology and Geometry, Mech.-Math. Faculty, Moscow State University, Moscow 119899, Russia
  • Email: raushan@shade.msu.ru
  • Received by editor(s): June 27, 1997
  • Received by editor(s) in revised form: October 27, 1997
  • Published electronically: April 8, 1999
  • Additional Notes: The first author was partially supported by NSF-grant DMS–9312363
  • Communicated by: Alan Dow
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 2449-2458
  • MSC (1991): Primary 54A25; Secondary 54A35
  • DOI: https://doi.org/10.1090/S0002-9939-99-04783-8
  • MathSciNet review: 1487356