Strong insertion of an $\alpha$-continuous function

M. Mirmiran

Department of Mathematics, University of Isfahan, Isfahan, 81746-73441, Iran

Abstract: Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of an $\alpha$-continuous function between two comparable real-valued functions.

Key words: strong insertion, strong binary relation, preopen set, semi-open set, $\alpha$-open set, lower cut set.

MSC: 54C08, 54C10, 54C50, 26A15, 54C30

Received: 19.07.2011

Language: English