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Vietnam Journal of Mathematics 38: 2 (2010) 133-141  

Insertion of a Continuous Function Between Two Comparable α-Continuous (C-Continuous) Functions

Majid Mirmiran

Abstract.  A necessary and sufficient conditions in terms of lower cut sets are given for the insertion of a continuous function between two comparable real-valued functions.

2000 Mathematics Subject Classification: Primary 54C08, 54C10, 54C50; Secondary 26A15, 54C30.

Keywords: Insertion, strong binary relation, C-open set, semi-preopen set, α-open set, lower cut set.

 

 

 

 

 

 

 

 

 

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