Investigates completions and Fréchet universal spaces in generalized metric spaces, suggesting a unifying framework.
In this paper, we investigate the existence of completions and Fréchet universal spaces within the framework of ‐metric spaces. We show that every ‐metric space has a completion and that, for any family of ‐metric spaces, there exists a Fréchet universal space.
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Norouzi-Chenari et al. (2026) studied this question.
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