Another note on Kempisty's generalized continuity.
Lee, J.P., Piotrowski, Z. (1988)
International Journal of Mathematics and Mathematical Sciences
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Lee, J.P., Piotrowski, Z. (1988)
International Journal of Mathematics and Mathematical Sciences
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Tomasz Natkaniec (1990)
Mathematica Slovaca
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Zbigniew Piotrowski (1980)
Bulletin de la Société Mathématique de France
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Zbigniew Grande, Leszek Sołtysik (1990)
Mathematica Slovaca
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Grande, Z., Natkaniec, T. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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C. Alegre, Jesús Ferrer, Valentín Gregori (1998)
Czechoslovak Mathematical Journal
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We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that is a quasi-Baire space iff , is a pairwise Baire bitopological space, where , is a quasi-uniformity that determines, in . Nachbin’s sense, the topological ordered space .