A note on regularity
Abbreviated Journal Title
Fuzzy Sets Syst.
Stratified L-filters; Lattice-valued convergence; Regularity; LATTICE-VALUED CONVERGENCE; SPACES; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability
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. (C) 2010 Elsevier B.V. All rights reserved.
Fuzzy Sets and Systems
"A note on regularity" (2011). Faculty Bibliography 2010s. 1117.