Products of Baire spaces revisited

László Zsilinszky. "Products of Baire spaces revisited." Fundamenta Mathematicae 183.2 (2004): 115-121. <http://eudml.org/doc/282852>.

@article{LászlóZsilinszky2004,
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 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.},
author = {László Zsilinszky},
journal = {Fundamenta Mathematicae},
keywords = {Baire spaces; Tikhonov product; box product; ccc property; countable-in-itself -base; (almost locally) universally Kuratowski-Ulam spaces},
language = {eng},
number = {2},
pages = {115-121},
title = {Products of Baire spaces revisited},
url = {http://eudml.org/doc/282852},
volume = {183},
year = {2004},
}

TY - JOUR
AU - László Zsilinszky
TI - Products of Baire spaces revisited
JO - Fundamenta Mathematicae
PY - 2004
VL - 183
IS - 2
SP - 115
EP - 121
AB - 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.
LA - eng
KW - Baire spaces; Tikhonov product; box product; ccc property; countable-in-itself -base; (almost locally) universally Kuratowski-Ulam spaces
UR - http://eudml.org/doc/282852
ER -