P^*–Field of Sets and Some of its Properties
| Autor: | Hind F. Abbas 1,, Hassan H. Ebrahim 2, Ali Al-Fayadh 3 |
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| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.5281/zenodo.6634115 |
| Popis: | In this study we generalize the idea of σ–field by introducing the concept of 𝒫∗– field. Characterization and examples of the proposed generalization are presented, as well as several different properties of 𝒫∗– field are proven. Furthermore, we introduce the notion of 𝒫∗– field generated by the class ℐ and we show that it is smallest 𝒫∗– field that contain ℐ. Finally, we show that the 𝒫∗– field concept is a generalizations of some types classes of sets. |
| Databáze: | OpenAIRE |
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