On complete metrizability of the Hausdorff metric topology
- UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
- Dr. Laszlo Zsilinszky, Professor (Creator)
- Institution
- The University of North Carolina at Pembroke (UNCP )
- Web Site: http://www.uncp.edu/academics/library
Abstract: There exists a completely metrizable bounded metrizablespaceXwith compatible metricsd, d'so that the hyperspaceCL(X) ofnonempty closed subsets ofXendowed with the Hausdorff metricHd,Hd', resp. isa-favorable,ß-favorable, resp. in the strong Choquet game.In particular, there exists a completely metrizable bounded metric space(X, d) such that (CL(X), Hd) is not completely metrizable.
On complete metrizability of the Hausdorff metric topology
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Created on 2/21/2018
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Additional Information
- Publication
- Proceedings of the American Mathematical Society Vol. 145, No. 5
- Language: English
- Date: 2015
- Keywords
- Hausdorff distance, hyperspace, complete metrizability, strongChoquet game, Banach-Mazur game