Baire category from an abstract viewpoint
John Morgan (1977)
Fundamenta Mathematicae
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Displaying similar documents to “Restricted continuity and a theorem of Luzin”
Baire category from an abstract viewpoint
Concerning a certain -algebra in compact Hausdorff spaces
Charles Stegall (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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On Borel, Baire and Lebesgue sets.
A. Abian (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Zeros of continuous functions and the structure of two function spaces
Vladimír Baláž, Tibor Šalát (2002)
Mathematica Slovaca
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Configurations of points in sets of positive measure and in Baire sets of second category
François Destrempes, Ambar Sengupta (1989)
Fundamenta Mathematicae
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The Borel structure of some non-Lebesgue sets
Don L. Hancock (2004)
Colloquium Mathematicae
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For a given function in some classes related to real derivatives, we examine the structure of the set of points which are not Lebesgue points. In particular, we prove that for a summable approximately continuous function, the non-Lebesgue set is a nowhere dense nullset of at most Borel class 4.
On derivatives of functions defined on disconnected sets, I
A. van Rooij, W. Schikhof (1988)
Fundamenta Mathematicae
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Baire functions and their restrictions to special sets
Zbigniew Grande (1993)
Mathematica Slovaca
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On the *topology and its application
Hiroshi Hashimoto (1976)
Fundamenta Mathematicae
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On sets with Baire property in topological spaces
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...