@article{article_1205089, title={Subcategories of the category of $\top$-convergence spaces}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={53}, pages={88–106}, year={2024}, DOI={10.15672/hujms.1205089}, author={Gao, Yuan and Pang, Bin}, keywords={T-convergence structure, T-filter, Kent convergence, limit structure, change of base}, 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.}, number={1}, publisher={Hacettepe University}