Abstract
Θ-Hilbertianity and its strengthening, strong Θ-Hilbertianity, are two generalizations of Hilbertianity inspired by Jarden’s definition of p-Hilbertianity and strong p-Hilbertianity. Jarden has asked whether the two notions defined by him are actually the same. We address this question in its more general version of Θ-Hilbertianity and show that for PRC, and, in particular, for PAC fields, p-Hilbertianity and strong p-Hilbertianity coincide.
| Original language | English |
|---|---|
| Pages (from-to) | 263-280 |
| Number of pages | 18 |
| Journal | Israel Journal of Mathematics |
| Volume | 257 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Nov 2023 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics