EUDML | On order topology of spaces having uniform linearly ordered bases

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Displaying similar documents to “On order topology of spaces having uniform linearly ordered bases”

Some results on uniform spaces with linearly ordered bases

Hans-Christian Reichel (1978)

Fundamenta Mathematicae

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Uniform continuity in paracompact spaces

Alas, O. T.

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On uniform spaces with linearly ordered bases II ( $ω_{μ}$ -metric spaces)

P. Nyikos, H. Reichel (1976)

Fundamenta Mathematicae

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Notes on the topologies and uniformities of hyperspaces

Giuliano Artico, Roberto Moresco (1980)

Rendiconti del Seminario Matematico della Università di Padova

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The $G_{δ}$ -topology on compact spaces

Scott Williams, William Fleischman (1974)

Fundamenta Mathematicae

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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.