δ-local function and its properties in ideal topological spaces

• Autorzy: Hatir E , Al-Omari A. , Jafari S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigated δ-local function and its properties in ideal topological space. Moreover, the relationships other local functions such as local function [1, 3] and semi-local function [2] are investigated.

Słowa kluczowe

EN

ideal topological space; local function; δ-open set

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2014
• Tom: Nr 53
• Strony: 53--64
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Hatir E

• N. E. University A.K. Education Faculty Konya-Turkey

autor

Al-Omari A.

• Department of Mathematics Faculty of Science Al al-Bayt University P.O. Box 130095 Mafraq 25113, Jordan

autor

Jafari S.

• Department of Mathematics College of Vestsjaelland South Herrestraede 11 4200 Slagelse

Bibliografia

• [1] Janković D., Hamlett T.R., New topologies from old via ideals, Amer. Math. Monthly, 97(1990), 295-310.
• [2] Khan M., Noiri T., Semi-local functions in ideal topological spaces, J. of Advanced Research in Pure Math., 2(2010), 36-42.
• [3] Kuratowski K., Topology I, Warszawa, 1933.
• [4] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
• [5] Hayashi E., Topologies defined by local properties, Math. Ann., 156(1964), 205-215.
• [6] Vaidyanathaswamy R., Set Topology, Chelsea Publishing Company, 1960.
• [7] Veličko N.V., H-closed topological spaces, Amer. Math. Soc. Transl., 2(78) (1968), 103-118.
• [8] Yuksel S., Acikgoz A., Noiri T., On δ-I-continuous functions, Turkish J. of Math., 29(2005), 39-51.