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 language | English |
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Pages (from-to) | 223-228 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 87 |
Issue number | 2 |
DOIs | |
State | Published - Feb 1983 |
Keywords
- Haar measure
- Hilbertian fields
- PAC fields