A topological proof of Denjoy-Stepanoff theorem
Jaroslav Lukeš (1978)
Časopis pro pěstování matematiky
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Jaroslav Lukeš (1978)
Časopis pro pěstování matematiky
Similarity:
Władysław Wilczyński, Wojciech Wojdowski (2011)
Open Mathematics
Similarity:
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...
W. Poreda, E. Wagner-Bojakowska, Władysław Wilczyński (1985)
Fundamenta Mathematicae
Similarity:
Katarzyna Flak, Jacek Hejduk (2013)
Open Mathematics
Similarity:
The paper concerns topologies introduced in a topological space (X, τ) by operators which are much weaker than the lower density operators. Some properties of the family of sets having the Baire property and the family of meager sets with respect to such topologies are investigated.
K. Ciesielski, L. Larson (1991)
Fundamenta Mathematicae
Similarity:
The ℑ-density topology on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous...
Wilczyński, Władysław
Similarity:
Kierus, Alicja (2016-05-20T10:35:15Z)
Acta Universitatis Lodziensis. Folia Mathematica
Similarity: