Displaying similar documents to “On coverings of a uniformity”

Some conditions under which a uniform space is fine

Umberto Marconi (1993)

Commentationes Mathematicae Universitatis Carolinae

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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.