Weak insertion of a continuous function between two comparable functions

M. Mirmiran

Department of Mathematics, University of Isfahan, Isfahan, Iran

Abstract: We give a sufficient condition for insertion of a continuous function between two comparable real-valued functions in terms of lower cut sets.

Key words: weak insertion, strong binary relation, pre-open set, semi-open set, lower cut set.

UDC: 517.98

MSC: Primary 54C08, 54C10, 54C50; Secondary 26A15, 54C30

Received: 20.04.2009

Language: English