Projective functions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915545370066944 |
|---|---|
| author | Carassus, Laurence Ferhoune, Massinissa |
| author_facet | Carassus, Laurence Ferhoune, Massinissa |
| contents | We study projective functions. We prove that projective functions generalise lower and upper-semianalytic ones while being stable by composition and difference. We show that the class of projective functions is closed under sums, differences, products, finite suprema and infima, sections and compositions. Assuming the set-theoretical axiom of Projective Determinacy, we also prove measurable selection results, stability under integration, and the existence of $ε$-optimal selectors. Finally, we illustrate how these results are important in the context of model uncertainty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Projective functions Carassus, Laurence Ferhoune, Massinissa Logic 03E75, 28A05, 28A25, 28E15, 28B20, 03E60, 54H05, 91G80 We study projective functions. We prove that projective functions generalise lower and upper-semianalytic ones while being stable by composition and difference. We show that the class of projective functions is closed under sums, differences, products, finite suprema and infima, sections and compositions. Assuming the set-theoretical axiom of Projective Determinacy, we also prove measurable selection results, stability under integration, and the existence of $ε$-optimal selectors. Finally, we illustrate how these results are important in the context of model uncertainty. |
| title | Projective functions |
| topic | Logic 03E75, 28A05, 28A25, 28E15, 28B20, 03E60, 54H05, 91G80 |
| url | https://arxiv.org/abs/2507.12605 |