Baire spaces, Tychonoff powers and the Vietoris topology-Reference-Cited by-同舟云学术

Baire spaces, Tychonoff powers and the Vietoris topology

Published:2007-01-04 Issue:5 Volume:135 Page:1565-1573
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cao Jiling,Tomita A.

Abstract

In this paper, we show that if the Tychonoff power X ω X^\omega of a quasi-regular space X X is Baire, then its Vietoris hyperspace 2 X 2^X is also Baire. We also provide two examples to show (i) the converse of this result does not hold in general, and (ii) the Baireness of finite powers of a space is insufficient to guarantee the Baireness of its hyperspace.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-05/S0002-9939-07-08855-7/S0002-9939-07-08855-7.pdf

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