On the hyperspace of a non-separable metric space-Reference-Cited by-同舟云学术

On the hyperspace of a non-separable metric space

Published:1998 Issue:11 Volume:126 Page:3393-3396
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Costantini Camillo

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-11/S0002-9939-98-04956-9/S0002-9939-98-04956-9.pdf

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