Öz
Proje Numarası
the Natural Science Foundation of China (Nos. 12471428, 12071033, 12271036)
Kaynakça
- [1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990
The categories of L-convex spaces and L-convergence spaces: extensionality and productivity of quotient maps
Öz
Based on a complete residuated lattice L, we show that the category of L-convex spaces is not extensional and is closed under the formation of finite products of quotient maps. Then we propose the concept of (preconcave, concave) L-convergence spaces via L-co-Scott closed sets and prove that the category of concave L-convergence spaces is isomorphic to that of L-concave spaces. Finally, we investigate the categorical properties of L-convergence spaces and show that it is extensional and closed under the formation of finite products of quotient maps.
Anahtar Kelimeler
L-convex space L-concave space L-convergence space Extensionality Quotient map
Proje Numarası
the Natural Science Foundation of China (Nos. 12471428, 12071033, 12271036)
Kaynakça
- [1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Topoloji |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | the Natural Science Foundation of China (Nos. 12471428, 12071033, 12271036) |
| Erken Görünüm Tarihi | 27 Ocak 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 5 Eylül 2024 |
| Kabul Tarihi | 10 Kasım 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |