Abstract
In this paper, categorical properties of L-fuzzifying convergence spaces are investigated. It is shown that (1) the category L-FYC of L-fuzzifying convergence spaces is a strong topological universe; (2) the category L-FYKC of L-fuzzifying Kent convergence spaces, as a bireflective and bicoreflective subcategory of L-FYC, is also a strong topological universe; (3) the category L-FYLC of L-fuzzifying limit spaces, as a bireflective subcategory of L-FYKC, is a topological universe.
| Original language | English |
|---|---|
| Pages (from-to) | 4021-4036 |
| Number of pages | 16 |
| Journal | Filomat |
| Volume | 32 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2018 |
Keywords
- Cartesian-closedness
- Fuzzy convergence structure
- Fuzzy filter
- Fuzzy topology