Baire Spaces and Weak Topologies Generated by Gap and Excess Functionals

UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
Dr. Laszlo Zsilinszky, Professor (Creator)
The University of North Carolina at Pembroke (UNCP )
Web Site:

Abstract: Let (K, d) be a separable Baire metric space or a completely metrizable space. It is shown that the family CL(X) of all nonempty closed subsets of X endowed with the finite Hausdorff topology is a Baire space. Baireness of other weak topologies on CL(K) generated by gap and excess functionals is also investigated.

Additional Information

Mathematica Slovaca Vol. 49, No. 3
Language: English
Date: 1999
weak hyperspace topologies, proximal hit-and-miss topologies, finite Hausdorff topology, gap and excess functionals, Baire spaces, feeble homeomorphism.

Email this document to