Rigid subanalytic sets

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1. [Ba] G. Bachman, Introduction to p-adic numbers and valuation theory, New York, 1964. Zbl0192.40103MR169847
2. [BGR] S. Bosch, U. Güntzer and R. Remmert, Non-archimedean Analysis, Springer-Verlag, Berlin, 1984. Zbl0539.14017MR746961
3. [BM] E. Bierstone and P.D. Milman, Semianalytic and subanalytic sets, Publ. Math. I.H.E.S. 67 (1988), 5-42. Zbl0674.32002MR972342
4. [Bo] S. Bosch, A rigid analytic version of M. Artin's theorem on analytic equations, Math. Ann.255 (1981), 395-404. Zbl0462.14002MR615859
5. [DvdD] J. Denef and L. van den Dries, p-adic and real subanalytic sets, Ann. Math.128 (1988), 79-138. Zbl0693.14012MR951508
6. [FvdP] J. Fresnel and M. van der Put, Géométrie Analytique Rigide et Applications, Birkhäuser, Boston, 1981. Zbl0479.14015MR644799
7. [Ga1] A.M. Gabrielov, Projections of semianalytic sets, Functional Anal. Appl.2 (1968), 282-291. Zbl0179.08503MR245831
8. [Ga2] A.M. Gabrielov, Formal relations between analytic functions, Math. USSR Izvestija7 (1973), 1056-1088. Zbl0297.32007MR346184
9. [Hi1] H. Hironaka, Introduction to Real-analytic Sets and Real-analytic Maps, Instituto Mathematico L. Tonelli, Pisa, 1973. MR477121
10. [Hi2] H. Hironaka, Subanalytic sets, Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973, pp. 453-493. Zbl0297.32008MR377101
11. [Ko] N. Koblitz, p-adic Numbers, p-adic Analysis and Zeta-functions, Springer-Verlag, New York, 1977. Zbl0364.12015MR466081
12. [Lip] L. Lipshitz, Rigid subanalytic sets, Amer. J. Math.115 (1993), 77-108. Zbl0792.14010MR1209235
13. [LR] L. Lipshitz and Z. Robinson, Rigid subanalytic subsets of the line and the plane (1992), 208-220 (to appear). Zbl0935.14035MR1393258
14. [Łoj1] S. Lojasiewicz, Sur la sémi analycité des images inverses par l'application tangente, Bull. Ac. Polon. Sci.27 (1979), 525-527. Zbl0452.32005
15. [Łoj2] S. Lojasiewicz, Ensembles sémi-analytiques, IHES, Bures-sur-Yvette, 1965. 
16. [Rob] A. Robinson, Complete Theories, North Holland, Amsterdam, 1966. Zbl0070.02701MR472504
17. [Sch1] H. Schoutens, Approximation and Subanalytic Sets over a Complete Valuation Ring, Ph.D. Thesis, Leuven, 1991. 
18. [Sch2] H. Schoutens, Uniformization of rigid subanalytic sets, Comp. Math. (1994) (to appear). Zbl0867.32011MR1310858
19. [Sch3] H. Schoutens, Rigid subanalytic sets in the plane, J. Algebra (1993) (to appear). Zbl0826.14014MR1302840
20. [vdD] L. van den Dries, A specialization theorem for p-adic power series converging on the closed unit disc, J. Algebra73(2) (1981), 613-623. Zbl0511.12018MR640053
21. [Wei] W. Weispfenning, Quantifier elimination and decision procedures for valued fields, Models and Sets, Lect. Notes in Math., vol. 1103, Springer-Verlag, 1984, pp. 419-472. Zbl0584.03022MR775704

1. Hans Schoutens, Embedded resolution of singularities in rigid analytic geometry
2. Hans Schoutens, Uniformization of rigid subanalytic sets