On stratified L-convergence spaces: Pretopological axioms and diagonal axioms

Authors:
Lingqiang Li;Qiu Jin
Affiliations:
Department of Mathematics, Liaocheng University, Liaocheng 252059, PR China;Department of Mathematics, Liaocheng University, Liaocheng 252059, PR China
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

This paper focuses on pretopological and diagonal axioms for stratified L-convergence spaces recently defined by the authors in 2011. This notion is slightly stronger than Jager's stratified L-generalized convergence spaces. In particular, one pretopological axiom is stated without resorting to the notion of neighborhood L-filters; some generalizations of Kowalsky's and Fischer's diagonal conditions are presented. The relationship between these axioms are investigated.