Besicovitch via Baire
T. W. Körner (2003)
Studia Mathematica
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We construct various Besicovitch sets using Baire category arguments.
T. W. Körner (2003)
Studia Mathematica
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We construct various Besicovitch sets using Baire category arguments.
W. Fleissner, K. Kunen (1978)
Fundamenta Mathematicae
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E. Torrance (1938)
Fundamenta Mathematicae
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Miller, Harry I. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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R. C. Haworth, R. A McCoy
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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................
Hejduk, Jacek (2015-11-10T11:42:31Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jozef Doboš, Zbigniew Piotrowski, Ivan L. Reilly (1994)
Mathematica Bohemica
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A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.
P. Dierolf, S. Dierolf, L. Drewnowski (1978)
Colloquium Mathematicae
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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J. Mioduszewski (1971)
Colloquium Mathematicae
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Alireza Kamel Mirmostafaee, Zbigniew Piotrowski (2016)
Mathematica Bohemica
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We consider the question of preservation of Baire and weakly Baire category under images and preimages of certain kind of functions. It is known that Baire category is preserved under image of quasi-continuous feebly open surjections. In order to extend this result, we introduce a strictly larger class of quasi-continuous functions, i.e. the class of quasi-interior continuous functions. We show that Baire and weakly Baire categories are preserved under image of feebly open quasi-interior...