LATTICE-VALUED CATEGORIES OF LATTICE-VALUED CONVERGENCE SPACES

نویسندگان

1 Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa

doi
10.22111/ijfs.2011.277
چکیده

We study L-categories of lattice-valued convergence spaces. Suchcategories are obtained by \fuzzifying" the axioms of a lattice-valued convergencespace. We give a natural example, study initial constructions andfunction spaces. Further we look into some L-subcategories. Finally we usethis approach to quantify how close certain lattice-valued convergence spacesare to being lattice-valued topological spaces.