1. Strong insertion of a $\gamma-$ continuous function
- Author
-
Majid Mirmiran and Binesh Naderi
- Subjects
Strong insertion ,Strong binary relation ,Preopen set ,Semi-open set ,$\gamma-$open set ,Lower cut set ,Mathematics ,QA1-939 - Abstract
Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a $\gamma-$continuous function between two comparable real-valued functions.In this paper, is given a sufficient condition for the weak $\gamma-$insertion property. Also for a space with the weak $\gamma-$insertion property, we give necessary and sufficient conditions for the space to have the strong $\gamma-$insertion property. Several insertion theorems are obtained as corollaries of these results.
- Published
- 2016
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