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