## On the uniform paracompactness.(English)Zbl 0566.54013

A uniform space is said to be uniformly $$\kappa$$-paracompact, $$\kappa$$ a cardinal $$\geq \omega$$, if every directed open cover of cardinality $$\leq \kappa$$ is uniform. Various characterizations of (normal) uniformly $$\kappa$$-paracompact spaces are obtained which are the uniform analogues of well-known results on $$\kappa$$-paracompact topological spaces.
Reviewer: H.Brandenburg

### MSC:

 54E15 Uniform structures and generalizations 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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### References:

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