On the sequential density points

• Autorzy: Loranty A.
• Języki publikacji: EN

Abstrakty

EN

This paper contains some results about density with respect to a sequence and an extension of the Lebesgue measure. There are some properties of topologies associated with such density point.

Słowa kluczowe

EN

extension of Lebesgue mesure; density point; density topology

PL

punkty gęstości; topologia gęstości

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 439--445
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Loranty A.

• The Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [FFH] M. Filipczak, T. Filipczak, J. Hejduk, On the comparison of the density type topologies, Preprint 2002/26, University of Łódź, 2002.
• [H] J. Hejduk, Density topologies with respect to an extension of Lebesgue measure, Real Anal. Exchange Vol. 21, No. 2, (1995-96), 811-817.
• [M] N. F. G. Martin, Generalized condensation points, Duke Math. J. 28 (1961), 507-514.
• [W] W. Wilczyński, Density topologies, chapter 15 in Handbook of Measure Theory, Institute of Mathematics, University of Novi Sad, Elsevier, 2002.