Iterated Cesàro averages, frequencies of digits, and Baire category
J. Hyde, V. Laschos, L. Olsen, I. Petrykiewicz, A. Shaw (2010)
Acta Arithmetica
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J. Hyde, V. Laschos, L. Olsen, I. Petrykiewicz, A. Shaw (2010)
Acta Arithmetica
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T. W. Körner (2003)
Studia Mathematica
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We construct various Besicovitch sets using Baire category arguments.
I. Hozo, H. I. Miller (1986)
Matematički Vesnik
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Miller, Harry I. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Harry I. Miller (1984)
Colloquium Mathematicae
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Harry I. Miller (1981)
Časopis pro pěstování matematiky
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S. Basu (2000)
Czechoslovak Mathematical Journal
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Steinhaus [9] prove that if a set has a positive Lebesgue measure in the line then its distance set contains an interval. He obtained even stronger forms of this result in [9], which are concerned with mutual distances between points in an infinite sequence of sets. Similar theorems in the case we replace distance by mutual ratio were established by Bose-Majumdar [1]. In the present paper, we endeavour to obtain some results related to sets with Baire property in locally compact topological...
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.
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................................................................................................................
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...
P. Dierolf, S. Dierolf, L. Drewnowski (1978)
Colloquium Mathematicae
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