A note on regularity

作者：Boustique H; Richardson G^*

来源：Fuzzy Sets and Systems, 2011, 162(1): 64-66.

DOI：10.1016/j.fss.2010.09.010

• Stratified L-filters
• Lattice-valued convergence
• Regularity

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.

• 出版日期2011-1-1