Some remarks on the relation of classical set-valued mappings to the Baire classification
Kazimierz Kuratowski (1979)
Colloquium Mathematicum
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Kazimierz Kuratowski (1979)
Colloquium Mathematicum
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T. W. Körner (2003)
Studia Mathematica
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We construct various Besicovitch sets using Baire category arguments.
J. Hyde, V. Laschos, L. Olsen, I. Petrykiewicz, A. Shaw (2010)
Acta Arithmetica
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Miller, Harry I. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Marek Kuczma (1984)
Colloquium Mathematicae
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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.
I. Hozo, H. I. Miller (1986)
Matematički Vesnik
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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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...