TY - JOUR ID - TI - More On MC-Functions AU - Saheb K. AL-Saidy AU - Rabeaa G. Abtan AU - Haider J. Ali PY - 2015 VL - 21 IS - 89 /علمي SP - 149 EP - 158 JO - journal of the college of basic education مجلة كلية التربية الاساسية SN - 18157467 27068536 AB -

Abstract In this work we introduce a new concept of Mc-functions namely M-gc functions, these are the functions f: X⟶Y in which the inverse image of every compact set in Y is g-closed in X. Several theorems about this concept were proved, and the relationships of M-gc functions with other types of functions were discussed.1. INTRODUCTIONIn [7] the concept of Mc-functions introduced a function f: X⟶ Y is said to be a Mc-function if f -1(F) is closed subset of X, whenever F is a compact subset of Y. Also in [3], the concept of Mθ-c functions introduced a function f: X⟶ Y is said to be an Mθ-c function if f -1(F) is θ-closed subset of X, whenever F is a compact subset of Y. In this work we introduce and study the concept of M-gc functions. We proved several theorems concerning this concept. 2. PRELIMINARIESIn this section, we recall the basic definitions and facts that needed in this work. All spaces X and Y are topological spaces and no function is assumed to be continuous unless explicitly stated to be so. For any concepts which we do not define or elaborate upon, the reader is referred to Kelley’s ER -