Displaying similar documents to “On simultaneous Blumberg sets”

Products of Baire spaces revisited

László Zsilinszky (2004)

Fundamenta Mathematicae

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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 π-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.