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

Research Article

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

Published in: Quaestiones Mathematicae
Volume 42 , issue 10 , 2019 , pages: 1313–1333
DOI: 10.2989/16073606.2018.1516250
Author(s): Gunther Jäger , Germany
Keywords: Primary 54A20 , 54E70 , 54E90 , Primary 54A20 , 54E70 , 54E90
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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.
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