On density topologies with respect to invariant σ-ideals

• Autorzy: Hejduk, J.
• Języki publikacji: EN

Abstrakty

EN

The density topologies with respect to measure and category are motivation to consider the density topologies with respect to invariant σ-ideals on R. The properties of such topologies, including the separation axioms, are studied.

Słowa kluczowe

PL

punkt gęstości; topologia gęstości; aksjomaty oddzielania; niezmienne ideały i algebry

EN

density point; density topology; separation axioms; invariant ideals and algebras

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2002
• Tom: Vol. 8, nr 2
• Strony: 201-219
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Hejduk, J.

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

Bibliografia

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• [6] Hejduk, J., On the density topology with resect to an extension of Lebesgue measure, Real Anal. Exchange 21(2) (1995-96), 811-816.
• [7] Hejduk, J., Some properties of the density topology with respect to an extension of the Lebesgue measure, Math. Pannon. 9(2) (1998), 173-180.
• [8] Hejduk, J., Kharazishvili, A. B., On density points with respect to von Neumann’s topology, Real Anal. Exchange 21(1) (1995-96), 278-291.
• [9] Kuczma, M., An Introduction to the Theory of Functional Equations and Inequalities, PWN, Warszawa-Katowice, 1985.
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• [15] Wilczyriski, W. A category analogue of the density topology, approximate continuity and the approximate derivative, Real Anal. Exchange 10(2) (1984-85), 241-265.
• [16] Wilczyriski, W., A generalization of density topology, Real Anal. Exchange 8(1) (1982-83), 16-20.