STRONGLY θ-PRE-I-CONTINUOUS FUNCTIONS

SAZIYE YUKSEL(1), TUGBA HAN SIMSEKLER(2), ZEHRA G. ERGUL(3), TAKASHI NOIRI(4)

1. Selcuk University, Faculty of Science, Department of Mathematics, 42031 Konya,Turkey, e-mail: syuksel@selcuk.edu.tr
2. Selcuk University, Faculty of Science, Department of Mathematics, 42031 Konya,Turkey, e-mail : tsimsekler@hotmail.com
3. Ahi Evran University, Faculty of Science, Department of Mathematics, 40100 Kirsehir, Turkey, email: zehramguzel@hotmail.com
4. Shiokita-Cho, Hinagu, Yatsusuhiro-Shi, Kumamota-Ken, 869-5142, JAPAN, e-mail: t.noiri@nifty.com

Abstract

The topology τ of a space is enlarged to a topology τ* using an ideal I whose members are disjoint with the members of τ. Many relations between topological concepts with respect to τ and τ* are obtained. The aim of this paper is to define a new type of functions called strongly θ-pre-I-continuous functions and to obtain some properties of this new notion.

Keywords

local function weakly I-precontinuous strongly θ-pre-I-continuous