On homeomorphisms of the density type topologies

• Autorzy: Filipczak M. , Hejduk J. , Wilczyński W.
• Języki publikacji: EN

Abstrakty

EN

This paper is dealing of the homeomorphisms of the density type topologies introduced in: M. Filipczak, J. Hejduk, "On topologies associated with the Lebesgue measure", Tatra Mountains Math. Publ. 28 (2004), 187-197

Słowa kluczowe

EN

density points; density topology; homeomorphism

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 2
• Strony: 151--159
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Filipczak M.

• Faculty of Mathematics, Univeristy of Łódź, Poland

autor

Hejduk J.

• Faculty of Mathematics, Univeristy of Łódź, Poland

autor

Wilczyński W.

• Faculty of Mathematics, Univeristy of Łódź, Poland

Bibliografia

• [1] K. Ciesielski, L. Larson and K. Ostaszewski, I-density Continuous Functions, Memoirs of Amer. Math. Soc. 515 (1994).
• [2] M. Filipczak, T. Filipczak and J. Hejduk, On the comparison of the density type topologies, Atti Sem. Mat. Fis. Univ. Modena LII (2004), 1-11.
• [3] M. Filipczak and J. Hejduk, On topologies associated with the Lebesgue measure, Tatra Mountains Math. Publ. 28 (2004), 187-197.
• [4] A. Loranty, On the generalization of the approximate continuity, Folia Mathematica 10(1) (2003), 59-65.
• [5] A. Loranty, Separation axioms of the density type topologies, to appear.
• [6] J. Lukes, J. Maly and L. Zajicek, Fine Topology Methods in Real Analysis and Potential Theory, Lecture Notes in Math. 1189, Springer Verlag, Berlin 1986.
• [7] M. Laczkovich and G. Petruska, Remarks on a problem of A.M. Bruckner, Acta Math. Acad. Sci. Hungaricae 38 (1981), 205-214.
• [8] S. Saks, Theory of the integral, Monografie Matematyczne 1937.
• [9] W. Wilczyński, Density Topologies, chapter 15 of Handbook of Measure Theory, edited by E. Pap, Elsevier 2002.