@article{ASENS_1994_4_27_6_661_0, author = {Parusi\'nski, Adam}, title = {Lipschitz stratification of subanalytic sets}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {661--696}, publisher = {Elsevier}, volume = {Ser. 4, 27}, number = {6}, year = {1994}, doi = {10.24033/asens.1703}, mrnumber = {96g:32017}, zbl = {0819.32007}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1703/} }
TY - JOUR AU - Parusiński, Adam TI - Lipschitz stratification of subanalytic sets JO - Annales scientifiques de l'École Normale Supérieure PY - 1994 SP - 661 EP - 696 VL - 27 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1703/ DO - 10.24033/asens.1703 LA - en ID - ASENS_1994_4_27_6_661_0 ER -
Parusiński, Adam. Lipschitz stratification of subanalytic sets. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 27 (1994) no. 6, pp. 661-696. doi : 10.24033/asens.1703. http://www.numdam.org/articles/10.24033/asens.1703/
[B] Wstep do teorii funkcji rzeczywistych, Monografie matematyczne, Warszawa-Wroclaw, 1951 (in Polish). | EuDML | MR
,[BM1] Semianalytic and Subanalytic Sets (Publ. I.H.E.S., Vol. 67, 1988, pp. 5-42). | EuDML | Numdam | MR | Zbl
and ,[BM2] Arc-analytic Functions (Invent. Math., Vol. 101, 1990, pp. 411-424). | EuDML | MR | Zbl
and ,[BT] Whitney (b)-regularity is Weaker Than Kuo's Ratio Test for Real Algebraic Stratifications (Math. Scand., Vol. 45, 1979, p. 27-43). | EuDML | MR | Zbl
and ,[DŁS] Certaines propriétés élémentaires des ensembles sous-analytiques (Bull. Acad. Polon. Sci. Sér. Math., Vol. 27, 1979, pp. 529-535). | MR | Zbl
, and ,[G] Topological Stability of Smooth Mappings (Lecture Notes in Math., Vol. 552, Springer-Verlag, 1976). | MR | Zbl
et al.,[H1] Introduction to Real Analytic Sets and Real Analytic maps, Instituto L. Tonelli, Pisa, 1973. | MR
,[H2] Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero I, II (Ann. of Math., Vol. 79, 1964, n° 2, pp. 109-326). | MR | Zbl
,[HLT] Platificateur local en géométrie analytique et aplatissement local (Astérisque, Vol. 7-8, 1973, pp. 441-463). | Numdam | MR | Zbl
, and ,[K1] Points réguliers d'un sous-analytique (Ann. Inst. Fourier, Grenoble, Vol. 38, 1988, n° 1, pp. 133-156). | Numdam | MR | Zbl
,[K2] On a Subanalytic Stratification Satisfying a Whitney Property With Exponent 1, Real Algebraic Geometry, Proceedings, Rennes, 1991, M. Coste et al., eds., (Lecture Notes in Math., Vol. 1524, 1992, pp. 316-323). | Zbl
,[KB] On the covering of Analytic Loci by Complexes (Trans. AMS, Vol. 34, 1932, pp. 231-251). | JFM | MR | Zbl
and ,[Ku] On Classification of Real Singularities (Invent. Math., Vol. 82, 1985, pp. 257-262). | MR | Zbl
,[Ł] Ensembles semi-analytiques, multigraphic, I.H.E.S., Bures-sur-Yvette, 1965.
,[M1] Lipschitz Equisingularity (Dissertationes Math., CCXLIII, 1985, PWN, Warszawa). | MR | Zbl
,[M2] Tangent Cones and Lipschitz Stratifications, Singularities, Banach Center Publications (S. Łojasiewicz, ed.), Vol. XX, PWN, Warszawa, 1988, pp. 303-322. | MR | Zbl
,[M3] A Criterion for Lipschitz Equisingularity (Bull. Acad. Polon. Sci. Sér. Math., Vol. 37, 1989, pp. 109-116). | MR | Zbl
,[O] On the L2 Cohomology of Complex Spaces (Math. Z., Vol. 209, 1992, pp. 519-530). | Zbl
,[P1] Lipschitz Properties of Semi-analytic Sets (Ann. Inst. Fourier, Grenoble, Vol. 38, 1988, n° 4, pp. 1189-213). | Numdam | MR | Zbl
,[P2] Lipschitz Stratification of Real Analytic Sets, Singularities, Banach Center Publications (S. Łojasiewicz, ed.), Vol. XX, PWN, Warszawa, 1988, pp. 323-333. | Zbl
,[P3] Regular Projections for Sub-analytic Sets (C. R. Acad. Sci. Paris, Série I, t. 307, 1988, pp. 343-347). | MR | Zbl
,[P4] Subanalytic functions, preprint MPI/90-58 (Trans. AMS), to appear.
,[P5] Lipschitz Stratification, Global Analysis in Modern Mathematics (K. Uhlenbeck, ed.), Proceedings of a Symposium in Honor of Richard Palais' Sixtieth Birthday, Publish or Perish, Houston, 1993, pp. 73-91. | Zbl
,[Pa] Le théorème de Puiseux pour une application sous-analytique (Bull. Acad. Polon. Sci. Sér. Math., Vol. 32, 1984, pp. 555-560). | MR | Zbl
,[S] Real-analytic Desingularization and Subanalytic Sets : an Elementary Approach (Trans. A.M.S., Vol. 317, 1990, n° 2, pp. 417-461). | MR | Zbl
,[SS] On Complexes that are Lipschitz Manifolds, Geometric Topology (J. Cantrell, ed.), Academic Press, New York, 1979, pp. 503-552. | MR | Zbl
and ,[V] Stratifications de Whitney et théorème de Bertini-Sard (Invent. Math., Vol. 36, 1976, pp. 295-312). | MR | Zbl
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