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On paracompactness, completeness and boundedness in uniform spaces

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Garrido, M. Isabel and Meroño, Ana S. (2016) On paracompactness, completeness and boundedness in uniform spaces. Topology and its Applications, 203 . pp. 98-107. ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/S0166864115006124


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Bourbaki-boundedness; Bourbaki-completeness; Cofinal Bourbaki-completeness; Primary; Secondary; Strong uniform paracompactness; Uniform paracompactness
Subjects:Sciences > Mathematics > Topology
ID Code:37733
Deposited On:19 May 2016 08:56
Last Modified:12 Dec 2018 15:12

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