- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 1
- Subcategories of the category of $\\top$-convergence spaces
Subcategories of the category of $\\top$-convergence spaces
Authors : Yuan Gao, Bin Pang
Pages : 88-106
Doi:10.15672/hujms.1205089
View : 221 | Download : 1295
Publication Date : 2024-02-29
Article Type : Research
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