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This paper deals with the abstract density topologies in the family of Lebesgue measurable sets generated by an operator similar to the density lower operator defined in the family of measurable sets.
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Rocznik
Tom
Strony
655--663
Opis fizyczny
Bibliogr. 8 poz.
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autor
autor
- Faculty Of Mathematics And Computer Science Łódź University Banacha 22 90-238 Łódź, Poland, hejduk@math.uni.lodz.pl
Bibliografia
- [1] M. Filipczak, T. Filipczak, A generalization of the density topology, Tatra Mt. Math. Publ. 34 (2006), 37–47.
- [2] M. Filipczak, J. Hejduk, On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187–197.
- [3] J. Hejduk, A. B. Kharazishvili, On density point with respect to von Neumann’s topology, Real Anal. Exchange 21(1) (1995–96), 278–291.
- [4] J. Hejduk, A. Loranty, On lower and semi lower density operators, Georgian Math. J. 14 (2007), 661–667.
- [5] J. Lukàs, J. Malˇy, L. Zajiček, Fine topology methods, Real Analysis and Potential Theory, Lecture Notes in Math. 1189, Springer, Berlin, 1985.
- [6] J. Oxtoby, Measure and Category, Springer, New York, 1971.
- [7] M. Terepeta, E. Wagner-Bojakowska, -density topology, Rend. Circ. Mat. Palermo 48 (1999), 451–476.
- [8] W. Wilczyński, Density Topologies, Chapter 15 in Handbook of Measure Theory, Ed. E. Pap, Elsevier 2002, 675–702.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0035-0014