On linearly Lindelöf and strongly
discretely Lindelöf spaces
Authors:
A. V. Arhangel'skii and R. Z. Buzyakova
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
Published electronically:
April 8, 1999
MathSciNet review:
1487356
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove that the cardinality of every first countable linearly Lindelöf Tychonoff space does not exceed , and every strongly discretely Lindelöf Tychonoff space of countable tightness is Lindelöf.
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- [3] Arhangel'skii A.V., Structure and classification of topological spaces and cardinal invariants, Russian Math. Surveys 33 (1978), 33-96.
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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
DOI:
https://doi.org/10.1090/S0002-9939-99-04783-8
Keywords:
Lindel\"{o}f space,
linearly Lindel\"{o}f space,
free sequence,
$G_{2^{\omega }}$-set,
first countability,
complete accumulation point
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
Article copyright:
© Copyright 1999
American Mathematical Society