Abstract
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 spaces; (3) the category of complete stratified L-filter spaces, as an isomorphism-closed full subcategory of the category of stratified L-filter spaces, is strongly Cartesian closed.
| Original language | English |
|---|---|
| Pages (from-to) | 108-126 |
| Number of pages | 19 |
| Journal | Fuzzy Sets and Systems |
| Volume | 247 |
| DOIs | |
| Publication status | Published - 16 Jul 2014 |
Keywords
- (Complete) stratified L-filter space
- (Symmetric) stratified L-Kent convergence space
- Category
- Strong topological universe
- Strongly Cartesian closed
- Topology
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Pang, B. (2014). The category of stratified L-filter spaces. Fuzzy Sets and Systems, 247, 108-126. https://doi.org/10.1016/j.fss.2013.09.014