Products of Baire spaces revisited

Tom 183 / 2004

László Zsilinszky Fundamenta Mathematicae 183 (2004), 115-121 MSC: 54E52; Secondary 54B10, 54D70. DOI: 10.4064/fm183-2-3

Streszczenie

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.

Autorzy

  • László ZsilinszkyDepartment of Mathematics and Computer Science
    University of North Carolina at Pembroke
    Pembroke, NC 28372, U.S.A.
    e-mail

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