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(2211-7736) Subcategories of the category of stratified (L,M)-semiuniform convergence tower spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اردیبهشت 1402 اصل مقاله (224.19 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7602 | ||
| نویسندگان | ||
| L. Zhang1؛ B. Pang* 1؛ W. Li2 | ||
| 1Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China | ||
| 2School of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang 157011, China | ||
| چکیده | ||
| In this paper, we propose the concepts of stratified (L,M)-semiuniform convergence spaces and stratified (L,M)-semiuniform limit tower spaces. It is shown that (1) the category S(L,M)- SUC of stratified (L,M)-semiuniform convergence spaces can be embedded in the category S(L,M)- SUCT of stratified (L,M)-semiuniform convergence tower spaces as a bireflective subcategory; (2) the full subcategory of S(L,M)-SUCT, consisting of stratified (L,M)-semiuniform limit tower spaces is strongly Cartesian closed; (3) the category S(L,M)- FT of stratified (L,M)-filter tower spaces can be embedded in the category S(L,M)- SUCT as a simultaneously bireflective and bicoreflective subcategory. | ||
| کلیدواژه‌ها | ||
| M)-semiuniform convergence space؛ (L؛ M)-filter tower space؛ strongly Cartesian closed؛ bireflective؛ bicoreflective | ||
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آمار تعداد مشاهده مقاله: 16 تعداد دریافت فایل اصل مقاله: 17 |
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