The Undecidability of Pseudo Real Closed Fields.
The absolute Galois group of a pseudo p-adically closed field.
Bounded statements in the theory of algebraically closed fields with distinguished automophisms.
Almost hilbertian fields
This paper is devoted to some variants of the Hilbert specialization property. For example, the RG-hilbertian property (for a field K), which arose in connection with the Inverse Galois Problem, requires that the specialization property holds solely for extensions of K(T) that are Galois and regular over K. We show that fields inductively obtained from a real hilbertian field by adjoining real pth roots (p odd prime) are RG-hilbertian; some of these fields are not hilbertian. There are other variants...
The absolute Galois group of a pseudo real closed field
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