Baire spaces and hyperspace topologies

Zsilinszky, László

doi:10.1090/S0002-9939-96-03528-9

Baire spaces and hyperspace topologies
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Proc. Amer. Math. Soc. 124 (1996), 2575-2584 Request permission

Abstract:

Sufficient conditions for abstract (proximal) hit-and-miss hyperspace topologies and the Wijsman hyperspace topology, respectively, are given to be Baire spaces, thus extending results of McCoy, Beer, and Costantini. Further the quasi-regularity of (proximal) hit-and-miss topologies is investigated.

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