Strong insertion of an \(\alpha\)-continuous function

Mirmiran M.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 2.

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.

Keywords: strong insertion, strong binary relation, preopen set, semi-open set, \(\alpha\)-open set, lower cut set.

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