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...