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Quantale-valued generalizations of approach spaces and quantale-valued topological spaces

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Abstract We show that for certain quantales, the categories of quantale-valued gauge spaces and of quantale-valued approach system spaces are isomorphic to the category of quantale-valued bounded strong topological spaces. Click to show full abstract

Abstract We show that for certain quantales, the categories of quantale-valued gauge spaces and of quantale-valued approach system spaces are isomorphic to the category of quantale-valued bounded strong topological spaces.

Keywords: spaces quantale; generalizations approach; topological spaces; valued generalizations; quantale valued; approach spaces

Journal Title: Quaestiones Mathematicae
Year Published: 2019

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