The category of stratified L-filter spaces

@article{Pang2014TheCO,
  title={The category of stratified L-filter spaces},
  author={Bin Pang},
  journal={Fuzzy Sets and Systems},
  year={2014},
  volume={247},
  pages={108-126}
}
In this paper, the concepts of stratified L-filter space, complete stratified L-filter space and symmetric stratified L-Kent convergence space are introduced. It is shown that (1) the category of stratified L-filter spaces with Cauchy continuous maps is a strong topological universe; (2) the category of complete stratified L-filter spaces, as a bicoreflective subcategory of the category of stratified L-filter spaces, is isomorphic to the category of symmetric stratified L-Kent convergence… CONTINUE READING