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

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Insertion of a gamma-continuous function

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

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Udc 517.98 Weak Insertion of a Continuous Function between Two Comparable Functions1

The concept of a pre-open set in a topological space was introduced by H. H. Corson and E. Michael in 1964 [3]. A subset A of a topological space (X, τ) is called pre-open or locally dense or nearly open if A ⊆ Int(Cl(A)). A set A is called pre-closed if its complement is preopen or equivalently if Cl(Int(A)) ⊆ A. The term, pre-open, was used for the first time by A. S. Mashhour, M. E. Abd El-M...

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insertion of a gamma-continuous function

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

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ژورنال

عنوان ژورنال: OALib

سال: 2016

ISSN: 2333-9721,2333-9705

DOI: 10.4236/oalib.1102453