%0 Journal Article
%T THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Yu, Qian
%A Fang, Jinming
%D 2017
%\ 06/29/2017
%V 14
%N 3
%P 121-138
%! THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS
%K T-lter
%K T-convergence
%K Cartesian-closedness
%K Topological category
%K Reflection
%K Strong L-topology
%R 10.22111/ijfs.2017.3259
%X In this paper, we define a kind of lattice-valued convergence spaces based on the notion of $\top$-filters, namely $\top$-convergence spaces, and show the category of $\top$-convergence spaces is Cartesian-closed. Further, in the lattice valued context of a complete $MV$-algebra, a close relation between the category of$\top$-convergence spaces and that of strong $L$-topological spaces is established. In details, we show that the category of strong $L$-topological spaces is concretely isomorphic to that of strong $L$-topological $\top$-convergence spaces categorically and bireflectively embedded in that of $\top$-convergence spaces.
%U https://ijfs.usb.ac.ir/article_3259_94e21cd4aee3c5cea49d7c6e5fe6545d.pdf