Cao, JTomita, AH2011-11-112011-11-112007-05-052007-05-05Proceedings of the American Mathematical Society, vol.135(5), pp.1565 - 15730002-9939 (print) 1088-6826 (online)https://hdl.handle.net/10292/2509In 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.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).Baire spaceChoquet gameTychonoff powerVietoris topologyJournal ArticleOpenAccess10.1090/S0002-9939-07-08855-79700