Hyperspaces of ditopological texture spaces and hypertextures. (English) Zbl 1411.54004
Summary: The author considers hyperspaces in the setting of textures and ditopological texture spaces. According to that, the definitions of hypertexture, plain hypertexture and hyperspace of ditopological texture space are presented. Then the author obtained some properties of hypertextures in the categorical respect and give some examples of hypertextures.
MSC:
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
| 54E55 | Bitopologies |
| 06A06 | Partial orders, general |
| 06D10 | Complete distributivity |
| 18B99 | Special categories |
| 54B20 | Hyperspaces in general topology |
