Products of Baire spaces revisited
Volume 183 / 2004
Fundamenta Mathematicae 183 (2004), 115-121
MSC: 54E52; Secondary 54B10, 54D70.
DOI: 10.4064/fm183-2-3
Abstract
Generalizing a theorem of Oxtoby, it is shown that an arbitrary product of Baire spaces which are almost locally universally Kuratowski–Ulam (in particular, have countable-in-itself $\pi $-bases) is a Baire space. Also, partially answering a question of Fleissner, it is proved that a countable box product of almost locally universally Kuratowski–Ulam Baire spaces is a Baire space.
