Pseudo algebraicallyc losed fields over rational function fields

Moshe Jarden, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

Abstract

The following theorem is proved: Let T be an uncountable set of algebraically independent elements over a field K0. Then K = K0(T) is a Hilbertian field but the set of σ Є G(A") for which K(σ) is PAC is nonmeasurable.

Original languageEnglish
Pages (from-to)223-228
Number of pages6
JournalProceedings of the American Mathematical Society
Volume87
Issue number2
DOIs
StatePublished - Feb 1983

Keywords

  • Haar measure
  • Hilbertian fields
  • PAC fields

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