@article{PMIHES_1988__67__5_0, author = {Bierstone, Edward and Milman, Pierre D.}, title = {Semianalytic and subanalytic sets}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--42}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {67}, year = {1988}, mrnumber = {89k:32011}, zbl = {0674.32002}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1988__67__5_0/} }
TY - JOUR AU - Bierstone, Edward AU - Milman, Pierre D. TI - Semianalytic and subanalytic sets JO - Publications Mathématiques de l'IHÉS PY - 1988 SP - 5 EP - 42 VL - 67 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1988__67__5_0/ LA - en ID - PMIHES_1988__67__5_0 ER -
Bierstone, Edward; Milman, Pierre D. Semianalytic and subanalytic sets. Publications Mathématiques de l'IHÉS, Volume 67 (1988), pp. 5-42. http://archive.numdam.org/item/PMIHES_1988__67__5_0/
[1] Differentiable functions, Bol. Soc. Brasil Mat., 11 (1980), 139-180. | MR | Zbl
,[2] Algebras of composite differentiable functions, Proc. Sympos. Pure Math., 40, Part 1 (1983), 127-136. | MR | Zbl
and ,[3] Decision procedures for real and p-adic fields, Comm. Pure Appl. Math., 22 (1969), 131-151. | MR | Zbl
,[4] Ensembles semi-algébriques, Géométrie algébrique réelle et formes quadratiques (Proceedings, Rennes, 1981), Lecture Notes in Math., No. 959, Berlin-Heidelberg-New York, Springer, 1982, p. 109-138. | Zbl
,[5] p-adic and real subanalytic sets, Ann. of Math. (2) (to appear). | Zbl
and ,[6] Certaines propriétés élémentaires des ensembles sous-analytiques. Bull. Acad. Polon. Sci. Sér. Sci. Math., 27 (1979), 529-536. | MR | Zbl
, and ,[7] Sur le théorème du complémentaire pour les ensembles sous-analytiques, Bull. Acad. Polon. Sci. Sér. Sci. Math., 27 (1979), 537-539. | MR | Zbl
, and ,[8] Sur le nombre des composantes connexes de la section d'un sous-analytique, Bull. Acad. Polon. Sci. Sér. Sci. Math., 30 (1982), 333-335. | MR | Zbl
, and ,[9] Ensembles sous-analytiques à la polonaise (preprint, 1985).
and ,[10] Substitution in Nash functions, Pacific J. Math., 63 (1976), 137-145. | MR | Zbl
,[11] Projections of semi-analytic sets, Functional Anal. Appl., 2 (1968), 282-291 = Funkcional. Anal. i Prilozen. 2, No. 4 (1968), 18-30. | MR | Zbl
,[12] Formal relations between analytic functions, Math. USSR Izvestija, 7 (1973), 1056-1088 = Izv. Akad. Nauk SSSR Ser. Mat., 37 (1973), 1056-1090. | Zbl
,[13] Stratification of real analytic mappings and images, Invent. Math., 28 (1975), 193-208. | MR | Zbl
,[14] Triangulation of subanalytic sets and proper light subanalytic maps, Invent. Math., 38 (1977), 207-217. | MR | Zbl
,[15] Some analytic bounds for subanalytic sets, Differential Geometric Control Theory, Boston, Birkhäuser, 1983, p. 259-267. | MR | Zbl
,[16] Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II, Ann. of Math. (2), 79 (1964), 109-326. | MR | Zbl
,[17] Subanalytic sets, Number Theory, Algebraic Geometry and Commutative Algebra, Tokyo, Kinokuniya, 1973, p. 453-493. | MR | Zbl
,[18] Introduction to real-analytic sets and real-analytic maps, Istituto Matematico “L. Tonelli”, Pisa, 1973. | MR
,[19] Sur le problème de la division, Studia Math., 8 (1959), 87-136. | MR | Zbl
,[20] Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa (3), 18 (1964), 449-474. | Numdam | MR | Zbl
,[21] Ensembles semi-analytiques, Inst. Hautes Études Sci., Bures-sur-Yvette, 1964.
,[22] Sur la semi-analyticité des images inverses par l'application-tangente, Bull. Acad. Polon. Sci. Sér. Sci. Math., 27 (1979), 525-527. | MR | Zbl
,[23] Frobenius avec singularités, 2. Le cas général, Invent. Math., 39 (1977), 67-89. | MR | Zbl
,[24] Introduction to the theory of analytic spaces, Lecture Notes in Math., No. 25, Berlin-Heidelberg-New York, Springer, 1966. | MR | Zbl
,[25] Fonction distance et singularités, Bull. Sci. Math. (2), 108 (1984), 187-195. | MR | Zbl
and ,[26] Subanalytic sets in the calculus of variations, Acta Math., 146 (1981), 167-199. | MR | Zbl
,[27] Local properties of analytic varieties, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton, Princeton Univ. Press, 1965, p. 205-244. | MR | Zbl
,[28] Local uniformization theorem on algebraic varieties, Ann. of Math. (2), 41 (1940), 852-896. | JFM | MR | Zbl
,[29] Commutative Algebra, Vol. II, Berlin-Heidelberg-New York, Springer, 1975. | Zbl
and ,