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Uniformization of topological MV-algebras

Li-Hong Xie, Jiang Yang

math.GNarXiv:2611.01779

Abstract

In this paper, we prove that for every topological MV-algebra the topology is induced by a uniformity. As a application, we obtain that every topological MV-algebra is completely regular and every \(T0\) first countable topological MV-algebra is metrizable.

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