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Vladikavkaz. Mat. Zh., 2010, Volume 12, Number 3, Pages 67–70 (Mi vmj185)  

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.

Full text: PDF file (112 kB)
References: PDF file   HTML file
UDC: 517.98
MSC: Primary 54C08, 54C10, 54C50; Secondary 26A15, 54C30
Received: 20.04.2009
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Citation: M. Mirmiran, “Weak insertion of a continuous function between two comparable functions”, Vladikavkaz. Mat. Zh., 12:3 (2010), 67–70

Citation in format AMSBIB
\Bibitem{Mir10}
\by M.~Mirmiran
\paper Weak insertion of a~continuous function between two comparable functions
\jour Vladikavkaz. Mat. Zh.
\yr 2010
\vol 12
\issue 3
\pages 67--70
\mathnet{http://mi.mathnet.ru/vmj185}


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