General insertion and extension theorems for localic real functions |
| |
| Authors: | Javier Gutié rrez Garcí a,Tomasz Kubiak |
| |
| Affiliation: | a Departamento de Matemáticas, Universidad del País Vasco-Euskal Herriko Unibertsitatea, Apdo. 644, 48080, Bilbao, Spainb Wydzia? Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza, ul. Umultowska 87, 61-614 Poznań, Poland |
| |
| Abstract: | In this paper we investigate localic real functions on frames. We provide a necessary and sufficient condition for the insertion of a continuous localic real function between two arbitrary comparable localic real functions. We also establish necessary and sufficient conditions for extending a bounded localic real function from a complemented sublocale to the whole frame. |
| |
| Keywords: | 06D22 54C30 54C20 54C45 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
