On the comparison of the density type topologies generated by sequences and by functions

• Autorzy: Filipczak M. , Filipczak T.
• Języki publikacji: EN

Abstrakty

EN

In the paper we investigate density type topologies generated by functions f satisfying condition [formula] which are not generated by any sequence.

Słowa kluczowe

EN

density points; density topology; comparison of topologies

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: Vol. 49, [Z] 2
• Strony: 161--170
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Filipczak M.

autor

Filipczak T.

• Faculty of Mathematics and Computer Sciences, Łódz University ul. Stefana Banacha 22, 90-238 Łódz, Poland,

Bibliografia

• [1] M. Filipczak, T. Filipczak, A generalization of the density topology, Tatra Mt. Math. Publ. 34 (2006), 37-47.
• [2] M. Filipczak, T. Filipczak, Remarks on f-density and -density, Tatra Mt. Math. Publ. 34 (2006), 141-149.
• [3] M. Filipczak, T. Filipczak, On f-density topologies, Topology Appl. 155 (2008), 1980-1989.
• [4] M. Filipczak, T. Filipczak, Density topologies generated by functions and by sequences, Tatra Mt. Math. Publ. 40 (2008), 103-115.
• [5] M. Filipczak, T. Filipczak, J. Hejduk, On the comparison of the density type topology, Atti Sem. Mat. Fis. Univ. Modena 52 (2004), 37-46.
• [6] M. Filipczak, J. Hejduk, On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187-197.
• [7] J.C.Oxtoby, Measure and Category, Springer-Verlag, New York Heidelberg Berlin, 1980.
• [8] S. Scheinberg, Toplogies which generate a complete measure algebra, Adv. Math. 7 (1971), 231-239.
• [9] W. Wilczyński, Density topologies, in: Handbook of Measure Theory, Elsevier Science B. V., Amsterdam, 2002, 675-702.