A note on regularity

Authors:
H. Boustique;G. Richardson
Affiliations:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA;Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
Venue:
Fuzzy Sets and Systems
Year:
2011

Citing 3
Cited 5

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Abstract

An alternative characterization of Gahler's definition of regularity of a lattice-valued convergence space is given. In particular, a space is regular exactly whenever convergence of filters remains invariant with respect to taking ''closures.'' Verification employs a slight modification of the work by Jager.