On the hyperspace of a non-separable metric space
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- by Camillo Costantini
- Proc. Amer. Math. Soc. 126 (1998), 3393-3396
- DOI: https://doi.org/10.1090/S0002-9939-98-04956-9
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Abstract:
We prove the following two results. 1) There exists a non-separable complete metric space whose Wijsman hypertopology is not Čech-complete. 2) There exist a non-separable metrizable space and two compatible metrics on it, such that the collections of the Borel sets generated by the relative Wijsman hypertopologies do not coincide.References
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Bibliographic Information
- Camillo Costantini
- Affiliation: Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy
- Email: costantini@dm.unito.it
- Received by editor(s): January 17, 1996
- Received by editor(s) in revised form: November 18, 1996
- Communicated by: Franklin D. Tall
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3393-3396
- MSC (1991): Primary 54B20; Secondary 54E35, 54D35
- DOI: https://doi.org/10.1090/S0002-9939-98-04956-9
- MathSciNet review: 1618729