On coverings of a uniformity

Anna Kucia

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Displaying similar documents to “On coverings of a uniformity”

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Let $X$ be a uniform space of uniform weight $μ$ . It is shown that if every open covering, of power at most $μ$ , is uniform, then $X$ is fine. Furthermore, an $ω_{μ}$ -metric space is fine, provided that every finite open covering is uniform.

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