Model completeness and subanalytic sets
Rings of separated power series and quasi-affinoid geometry, Astérisque, no. 264 (2000), pp. 109-126. 
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Lipshitz, Leonard. Model completeness and subanalytic sets, dans Rings of separated power series and quasi-affinoid geometry, Astérisque, no. 264 (2000), pp. 109-126. http://www.numdam.org/item/AST_2000__264__109_0/

[1] J. Denef and L. Van Den Dries. - p-adic and real subanalytic sets. Ann. Math., 128, (1988) 79-138. | DOI | MR | Zbl

[2] A. M. Gabrielov. - Projections of semi-analytic sets. Punktsionalnyi Analiz eigo prilozheniya, 2 (1968) 18-30 (Russian). English translation: Funct. Anal, and its Appl., 2 (1968) 282-291. | Zbl

[3] T. Gardener. - Local flattening in rigid analytic geometry. Preprint. | DOI | MR | Zbl

[4] T. Gardener and H. Schoutens. - Flattening and subanalytic sets in rigid analytic geometry. Preprint. | DOI | MR | Zbl

[5] H. Hasse and F. K. Schmidt. - Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen, Funktionenkörper einer Unbestimmten. J. reine agnew. Math., 177 (1937) 215-237. | JFM | MR | Zbl

[6] A. Hefez. - Non-reflexive curves. Compositio Math., 69 (1989) 3-35. | EuDML | Numdam | MR | Zbl

[7] H. Hironaka. - Subanalytic Sets, in Number Theory, Algebraic Geometry and Commutative Algebra in honor of Y. Akizuki. Kinokuniya, 1973, 453-493. | MR | Zbl

[8] L. Lipshitz. - Isolated points on fibers of affinoid varieties. J. reine angew. Math., 384 (1988) 208-220. | EuDML | MR | Zbl

[9] L. Lipshitz. - Rigid subanalytic sets. Amer. J. Math., 115 (1993) 77-108. | DOI | MR | Zbl

[10] L. Lipshitz and Z. Robinson. - Rigid subanalytic subsets of the line and the plane. Amer. J. Math., 118 (1996) 493-527. | DOI | MR | Zbl

[11] L. Lipshitz and Z. Robinson. - Rigid subanalytic subsets of curves and surfaces. To appear in J. London Math. Soc. | MR | Zbl

[12] L. Lipshitz and Z. Robinson. - One-dimensional fibers of rigid subanalytic sets. J. Symbolic Logic, 63 (1998) 83-88. | DOI | MR | Zbl

[13] L. Lipshitz and Z. Robinson. - Rings of separated power series. This volume.

[14] L. Lipshitz and Z. Robinson. - Dimension theory and smooth stratification of rigid subanalytic sets. In Logic Conference '98, S. Buss, P. Hajek and P. Pudlak, eds. Springer Verlag. To appear. | MR | Zbl

[15] L. Lipshitz and Z. Robinson. - Quasi-affinoid varieties. This volume.

[16] A. Macintyre. - On definable subsets of p-adic fields. J. Symbolic Logic, 41 (1976) 605-610. | DOI | MR | Zbl

[17] H. Schoutens. - Rigid subanalytic sets. Comp. Math., 94 (1994) 269-295. | EuDML | Numdam | MR | Zbl

[18] H. Schoutens. - Rigid subanalytic sets in the plane. J. Algebra, 170 (1994) 266-276. | DOI | MR | Zbl

[19] H. Schoutens. - Uniformization of rigid subanalytic sets. Comp. Math., 94 (1994) 227-245. | EuDML | Numdam | MR | Zbl

[20] H. Schoutens. - Blowing up in rigid analytic geometry. Bull. Belg. Math. Soc., 2 (1995) 399-417. | EuDML | MR | Zbl

[21] H. Schoutens. - Closure of rigid semianalytic sets. J. Algebra, 198 (1997) 120-134. | DOI | MR | Zbl

[22] H. Schoutens. - Rigid analytic flatificators. Preprint. | DOI | MR | Zbl

[23] L. Van Den Dries. - On the elementary theory of restricted elementary functions. J. Symbolic Logic. 53 (1988) 796-808. | DOI | MR | Zbl

[24] V. Weispfenning. - Quantifier Elimination and Decision Procedures for Valued Fields. In Models and Sets, Aachen, 1983. Lecture Notes in Math., 1103 (1984) 419-472. Springer-Verlag. | MR | Zbl