Baire spaces, Tychonoff powers and the Vietoris topology
Baire spaces, Tychonoff powers and the Vietoris topology
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Date
2007-05-05
Authors
Cao, J
Tomita, AH
Supervisor
Item type
Journal Article
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
In this paper, we show that if the Tychonoff power Xω of a quasiregular space X is Baire, then its Vietoris hyperspace 2X 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.
Description
Keywords
Baire space , Choquet game , Tychonoff power , Vietoris topology
Source
Proceedings of the American Mathematical Society, vol.135(5), pp.1565 - 1573
Publisher's version
Rights statement
Copyright 2007, American Mathematical Society. This is an Open Access Journal. Authors retain the right to place his/her publication version of the work on a personal website or institutional repository for non commercial purposes. The definitive version was published in (see Citation). The original publication is available at (see Publisher’s Version).