Abstract
In this paper, stratified L-ordered filter spaces and stratified L-ordered Cauchy spaces are introduced. It is shown that the category of stratified L-ordered filter spaces is a strongly Cartesian closed topological category and the category of stratified L-ordered Cauchy spaces is a Cartesian closed topological category. Also, the relationships among stratified L-ordered filter spaces, stratified L-ordered Cauchy spaces, stratified L-filter spaces and stratified L-Cauchy spaces are investigated.
| Original language | English |
|---|---|
| Pages (from-to) | 661-678 |
| Number of pages | 18 |
| Journal | Quaestiones Mathematicae |
| Volume | 40 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 29 Aug 2017 |
Keywords
- (Stratified) L-ordered filter space
- (stratified) L-ordered Cauchy space
- (strongly) Cartesian closed
- fuzzy order
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Pang, B. (2017). Stratified L-ordered filter spaces. Quaestiones Mathematicae, 40(5), 661-678. https://doi.org/10.2989/16073606.2017.1308976