On Borel, Baire and Lebesgue sets.
A. Abian (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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A. Abian (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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T. W. Körner (2003)
Studia Mathematica
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We construct various Besicovitch sets using Baire category arguments.
Miller, Harry I. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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J. Hyde, V. Laschos, L. Olsen, I. Petrykiewicz, A. Shaw (2010)
Acta Arithmetica
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N. H. Bingham, A. J. Ostaszewski (2010)
Colloquium Mathematicae
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We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density topologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman and to Borwein and Ditor. We hence give a unified proof of the measure and category cases of the Uniform Convergence Theorem for slowly varying functions. We also extend results on very slowly varying...
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...
I. Hozo, H. I. Miller (1986)
Matematički Vesnik
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Dilip Kumar Ganguly, M. Majumdar (1998)
Czechoslovak Mathematical Journal
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In this paper we define certain types of projections of planar sets and study some properties of such projections.