Subcategories of the category of $\\top$-convergence spaces

Authors : Yuan Gao, Bin Pang

Pages : 88-106

Doi:10.15672/hujms.1205089

View : 240 | Download : 1301

Publication Date : 2024-02-29

Article Type : Research Paper

Abstract :$\\top$-convergence structures serve as an important tool to describe fuzzy topology. This paper aims to give further investigations on $\\top$-convergence structures. Firstly, several types of $\\top$-convergence structures are introduced, including Kent $\\top$-convergence structures, $\\top$-limit structures and principal $\\top$-convergence structures, and their mutual categorical relationships as well as their own categorical properties are studied. Secondly, by changing of the underlying lattice, the ``change of base\" approach is applied to $\\top$-convergence structures and the relationships between $\\top$-convergence structures with respect to different underlying lattices are demonstrated.
Keywords : T convergence structure, T filter, Kent convergence, limit structure, change of base