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:
https://doi.org/10.1090/S0002-9939-98-04526-2

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