Powiadomienia systemowe
- Sesja wygasła!
- Sesja wygasła!
- Sesja wygasła!
Tytuł artykułu
Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The classical Lebesgue density theorem says that almost each point of a measurable set A is a density point of A. It is well known that the density point of a measurable set A can be described in terms of the convergence in measure of a sequence of characteristic functions of sets similar to A. In this note it is shown that in the Lebesgue density theorem the convergence in measure cannot be replaced by the convergence almost everywhere.
Wydawca
Czasopismo
Rocznik
Tom
Strony
275--281
Opis fizyczny
Bibliogr. 4 poz.
Twórcy
autor
- Faculty of Mathematics and Computer Science, Łódź University, ul. Banacha 22, 90-238 Łódź, Poland, wwil@uni.lodz.pl
Bibliografia
- [1] V. Aversa and W. Wilczyński, Simple density topology, Rend. Circ. Mat. Palermo (2) 53 (2004), 344-352.
- [2] W. Poreda, E. Wagner-Bojakowska and W. Wilczyński, A category analogue of the density topology, Fund. Math. 125 (1985), 167-173.
- [3] S. J. Taylor, On strengthening the Lebesgue density theorem, Fund. Math. 46 (1959), 305-315.
- [4] S. Ulam, A Collection of Mathematical Problems, Interscience Publishers, New York, 1960.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LODD-0002-0062