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Some conditions under which a uniform space is ne

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Umberto Marconi

Some conditions under which a uniform space is ne

Comment.Math.Univ.Carolinae 34,3 (1993) 543-547.

Abstract: LetX be a uniform space of uniform weightµ. It is shown that if every open covering, of power at most µ, is uniform, then X is fine. Furthermore, an ωµ-metric space is fine, provided that every finite open covering is uniform.

Keywords: uniform space, uniform weight, fine uniformity, uniformly locally finite, ωµ-additive space, ωµ-metric space

AMS Subject Classification: Primary 54E15; Secondary 54A25, 54A35

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