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The paper presents a method for achieving modular completion in sets equipped with a modular metric, suggesting its uniqueness up to isometry.
The purpose of this paper is to present the construction of the completion of a set equipped with a modular metric that we call the modular completion. We show for instance that any set equipped with a modular metric has a modular completion. Moreover, it turns out that the modular completion is unique up to isometry.
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Otafudu et al. (2025) studied this question.
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