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On paracompactness, completeness and boundedness in uniform spaces

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2016
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Elsevier Science
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Recently two new types of completeness in metric spaces, called Bourbaki-completeness and cofinal Bourbaki-completeness, have been introduced in [7]. The purpose of this note is to analyze these completeness properties in the general context of uniform spaces. More precisely, we are interested in how they are related with uniform paracompactness properties, as well as with some kind of uniform boundedness.
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Topología
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1210 Topología
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