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The bornology of cofinally complete subsets

Authors :
Giuseppe Di Maio
Gerald Beer
Source :
Acta Mathematica Hungarica. 134:322-343
Publication Year :
2011
Publisher :
Springer Science and Business Media LLC, 2011.

Abstract

Cofinal completeness of a metric space, which is a property between completeness and compactness, can be characterized in terms of a measure of local compactness functional [7]. Using this functional, we introduce and then study the variational notion of cofinally complete subset of a metric space.

Details

ISSN :
15882632 and 02365294
Volume :
134
Database :
OpenAIRE
Journal :
Acta Mathematica Hungarica
Accession number :
edsair.doi...........0bbdb928d2e3b77fc9eac5ca81057363