Measure of Compactness for Filters in the Approach Setting

Authors

Frédéric D. Mynard, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2008

Publication Title

Quaestiones Mathematicae

DOI

10.2989/QM.2008.31.3.1.543

Abstract

New explicit descriptions of the reflections of a convergence-approach space on pseudo-approach, pre-approach and approach spaces are given. A measure of compactness for filters is introduced in the context of convergence-approach spaces. It is shown that this measure generalizes all the known measures of variants of compactness and can also be used to describe the reflections mentioned above.

Recommended Citation

Mynard, Frédéric D.. 2008. "Measure of Compactness for Filters in the Approach Setting." Quaestiones Mathematicae, 31 (3): 189-201. doi: 10.2989/QM.2008.31.3.1.543
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/277