CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

نویسندگان
Jager, Gunther ID 1

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

doi
10.22111/ijfs.2012.129
چکیده

We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued pretopological spaces and that the category of approach spaces is a coreective subcategory of a category of lattice-valued topological convergence spaces

کلیدواژه‌ها
L-fuzzy convergence, L-topology, L-filter, L-limit space, Approach space, Convergence approach space, Pre-approach space