The absolute Galois group of a pseudo real closed field

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1. [1] J. Ax, The elementary theory of finite fields, Ann. of Math., 88 (1968), pp. 239-271. Zbl0195.05701MR229613
2. [2] Bredon, Introduction to compact transformation groups, Academic Press, London, 1972. Zbl0246.57017MR413144
3. [3] T. Craven, The Boolean space of orderings of a field, Amer. Math. Soc. Transl., 209 (1975), pp. 225-235. Zbl0315.12106MR379448
4. [4] L. Van den Dries, Model theory of fields, Ph. D. Thesis, Utrecht, 1978. 
5. [5] R. Elman - T.Y. Lam - A.R. Wadsworth, Orderings under field extensions, Journal für die reine und angewandte Math., 306 (1975), pp. 7-27. Zbl0398.12019MR524644
6. [6] R. Engelking, Outline of general topology, North-Holland, Amsterdam, PWN, 1968. Zbl0157.53001MR230273
7. [7] Yu L. Ershov, Completely real extensions of fields, Dokl. Akad. Nauk SSSR, 263 (1982), pp. 1047-1049. Zbl0514.03019MR652153
8. [8] W.-D. Geyer, Galois groups of intersections of local fields, Israel J. Math., 30 (1978), pp. 383-396. Zbl0383.12014MR506378
9. [9] K. Grunberg, Projective profinite groups, J. London Math. Soc., 42 (1967), pp. 155-165. Zbl0178.02703MR209362
10. [10] D. Haran - A. Lubotzky, Embedding covers and the theory of Frobenius fields, Israel J. Math., 41 (1982), pp. 181-202. Zbl0502.20013MR657855
11. [11] E. Hewitt - A.K. Ross, Abstract Harmonic Analysis I, Springer-Verlag, Berlin1963. Zbl0115.10603
12. [12] A.V. Jakovlev, The Galois group of the algebraic closure of a local field, Math. USSR-Izv.2 (1968), pp. 1231-1269. Zbl0194.35401MR236155
13. [13] U. Jannsen - K. Winberg, Die Struktur der absoluten Galois gruppe p-adischer Zahlkörper, Inventiones mathematicae, 70 (1982), pp. 71-98. Zbl0534.12010MR679774
14. [14] M. Jarden, Elementary statements over large algebraic fields, Amer. Math. Soc. Transl., 164 (1972), pp. 67-91. Zbl0235.12104MR302651
15. [15] M. Jarden, Algebraic extensions of finite corank of Hilbertian fields, Israel J. Math., 18 (1974), pp. 279-307. Zbl0293.12101MR376617
16. [16] M. Jarden, The elementary theory of large e-fold ordered fields, Acta Math.149 (1982), pp. 239-240. Zbl0513.12020MR688350
17. [17] M. Jarden, On the model companion of the theory of e-fold ordered fields, Acta Math., 150 (1983), pp. 243-253. Zbl0518.12018MR709142
18. [18] S. Lang, Algebra, Addison-Wesley, 1974. MR197234
19. [19] S. Lang, Algebraic geometry, Interscience Publishers, New York, 1964. 
20. [20] A. Lubotzky - L. v. d. Dries, Subgroups of free profinite groups and large subfields of Q, Israel J. Math., 39 (1981), pp. 25-45. Zbl0485.20021MR617288
21. [21] A. Prestel, Lectures on formally real fields, Monografias de Matemática22, IMPA, Rio de Janeiro, 1975. Zbl0548.12010
22. [22] A. Prestel, Pseudo real closed fields, in : Set theory and model theory, pp. 127-156, Lecture notes in Math., 782, Springer, Berlin, 1981. Zbl0466.12018MR645909
23. [23] L. Ribes, Introduction to profinite groups and Galois cohomology, Queen's University, Kingston, 1970. Zbl0221.12013MR260875
24. [24] W.C. Waterhaus, Profinite groups are Galois groups, Proc. Amer. Math. Soc., 42 (1974), pp. 639-640. Zbl0281.20031MR325587
25. [25] K. Winberg, Der Eindeutigkeitssatz für Demuškinformationen,Inventiones Mathematicae70 (1982), pp. 99-113. Zbl0534.12011MR679775

1. Moshe Jarden, Algebraic realization of $p$-adically projective groups