Note on Hit-And-Miss Topologies
- 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: This is a continuation of [19]. We characterize first and second countability of the general hit-and-miss hyperspace topologyt+? for weakly-R0 base spaces. Further, metrizability oft+? is characterized with no preliminary conditions on the base space and the generating family of closed sets and a new proof on uniformizability (i.e. complete regularity) oft+? is given in this general setting, thus generalizing results of [3], [5] and [6].
Note on Hit-And-Miss Topologies
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Created on 10/24/2017
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Additional Information
- Publication
- Rendiconti del Circolo Matematico di Palermo Vol. 49, Issue 2
- Language: English
- Date: 2000
- Keywords
- Hit-and-miss topologies countability and separation axioms metrizability uniformizability