Strong insertion of a $\gamma-$ continuous function

Resumo

Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a $\gamma-$continuous function between two comparable real-valued functions.In this paper, is given a sufficient condition for the weak $\gamma-$insertion property. Also for a  space with the weak $\gamma-$insertion property, we give necessary and sufficient conditions for the space to have the strong $\gamma-$insertion property. Several insertion theorems are obtained as corollaries of these results.

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Biografia do Autor

Majid Mirmiran, University of Isfahan

Department of Mathematics

Binesh Naderi, Medical University of Isfahan

School of Management and Medical Information

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Publicado
2015-06-01
Seção
Artigos