A category analogue of the density topology
W. Poreda, E. Wagner-Bojakowska, Władysław Wilczyński (1985)
Fundamenta Mathematicae
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W. Poreda, E. Wagner-Bojakowska, Władysław Wilczyński (1985)
Fundamenta Mathematicae
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Marek Balcerzak, Ewa Łazarow (1986)
Commentationes Mathematicae Universitatis Carolinae
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Władysław Wilczyński, Wojciech Wojdowski (2011)
Open Mathematics
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Ψ-density point of a Lebesgue measurable set was introduced by Taylor in [Taylor S.J., On strengthening the Lebesgue Density Theorem, Fund. Math., 1958, 46, 305–315] and [Taylor S.J., An alternative form of Egoroff’s theorem, Fund. Math., 1960, 48, 169–174] as an answer to a problem posed by Ulam. We present a category analogue of the notion and of the Ψ-density topology. We define a category analogue of the Ψ-density point of the set A at a point x as the Ψ-density point at x of the...
Jaroslav Lukeš, Luděk Zajíček (1977)
Commentationes Mathematicae Universitatis Carolinae
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