Θ-Hilbertianity and strong Θ-Hilbertianity

Sela Fried, Dan Haran

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)263-280
Number of pages18
JournalIsrael Journal of Mathematics
Volume257
Issue number1
DOIs
StatePublished - 1 Nov 2023
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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