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Polishness of the Wijsman topology revisited
Author:
László Zsilinszky
Journal:
Proc. Amer. Math. Soc. 126 (1998), 3763-3765
MSC (1991):
Primary 54B20
MathSciNet review:
1458275
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Abstract: Let  be a completely metrizable space. Then the space of nonempty closed subsets of  endowed with the Wijsman topology is  -favorable in the strong Choquet game. As a consequence, a short proof of the Beer-Costantini Theorem on Polishness of the Wijsman topology is given.
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Additional Information
László Zsilinszky
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
Address at time of publication:
Department of Mathematics and Computer Science, University of North Carolina at Pembroke, Pembroke, North Carolina 28372
Email:
zsilinsz@math.sc.edu, laszlo@nat.uncp.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-98-04526-2
PII:
S 0002-9939(98)04526-2
Keywords:
Wijsman topology,
strong Choquet game,
strong Choquet space,
Polish space
Received by editor(s):
January 20, 1997
Received by editor(s) in revised form:
April 28, 1997
Communicated by:
Alan Dow
Article copyright:
© Copyright 1998 American Mathematical Society
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