2011
DOI: 10.1016/j.jpaa.2010.08.004
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General insertion and extension theorems for localic real functions

Abstract: a b s t r a c tIn this paper we investigate localic real functions on frames. We provide a necessary and sufficient condition for the insertion of a continuous localic real function between two arbitrary comparable localic real functions. We also establish necessary and sufficient conditions for extending a bounded localic real function from a complemented sublocale to the whole frame.

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Cited by 7 publications
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