Geometric versions of Whitney regularity for smooth stratifications
Trotman, David J. A.
Annales scientifiques de l'École Normale Supérieure, Tome 12 (1979), p. 453-463 / Harvested from Numdam
@article{ASENS_1979_4_12_4_453_0,
     author = {Trotman, David},
     title = {Geometric versions of Whitney regularity for smooth stratifications},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {12},
     year = {1979},
     pages = {453-463},
     doi = {10.24033/asens.1371},
     mrnumber = {81g:58002a},
     zbl = {0456.58002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1979_4_12_4_453_0}
}
Trotman, David J. A. Geometric versions of Whitney regularity for smooth stratifications. Annales scientifiques de l'École Normale Supérieure, Tome 12 (1979) pp. 453-463. doi : 10.24033/asens.1371. http://gdmltest.u-ga.fr/item/ASENS_1979_4_12_4_453_0/

[1] H. Brodersen and D. Trotman, Whitney (b)-Regularity is Weaker than Kuo's Ratio Test for Real Algebraic Stratifications, Aarhus University preprint, November 1978 (to appear in Mathematica Scandinavia). | Zbl 0425.58005

[2] C. G. Gibson et al., Topological Stability of Smooth Mappings (Springer Lecture Notes, Vol. 552, Berlin, 1976). | MR 55 #9151 | Zbl 0377.58006

[3] M. Hirsch, Differential Topology, Springer-Verlag, New York, 1976. | MR 56 #6669 | Zbl 0356.57001

[4] A. Kambouchner and D. J. A. Trotman, Whitney (a)-Faults which are Hard to Detect (Ann. scient. Éc. Norm. Sup., Vol. 12, 1979, pp. 473-479). | Numdam | MR 81g:58002b | Zbl 0456.58003

[5] T.-C. Kuo, The Ratio Test for Analytic Whitney Stratifications [Liverpool singularities symposium I (Springer Lecture Notes, Vol. 192, Berlin, 1971, pp. 141-149)]. | MR 43 #5056 | Zbl 0246.32006

[6] J. Mather, Notes on topological stability, Harvard University, 1970.

[7] J. Mather, Stratifications and Mappings, in Dynamical Systems (edited by M. PEIXOTO, Ed.), Academic Press, 1971, pp. 195-223.

[8] J. R. Munkres, Elementary differential topology (Annals Study, Vol. 54, Princeton, 1968).

[9] R. Thom, Propriétés différentielles locales des ensembles analytiques (Séminaire Bourbaki, No. 281, pp. 1964-1965). | Numdam | Zbl 0184.31402

[10] R. Thom, Ensembles et morphismes stratifiés (Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 240-284). | MR 39 #970 | Zbl 0197.20502

[11] D. J. A. Trotman, A Transversality Property Weaker than Whitney (a)-regularity (Bull. London Math. Soc., Vol. 8, 1976, pp. 225-228). | MR 54 #11381 | Zbl 0344.57009

[12] D. J. A. Trotman, Geometric Versions of Whitney Regularity (Math. Proc. Camb. Phil. Soc., Vol. 80, 1976, pp. 99-101). | MR 53 #9284 | Zbl 0329.57010

[13] D. J. A. Trotman, Whitney Stratifications : Faults and Detectors (Thesis, Warwick University, 1977).

[14] D. Trotman, Interprétations topologiques des conditions de Whitney [Journées singulières, Dijon, juin 1978 (Astérisque, Vol. 59-60, 1979, pp. 233-248)]. | MR 81f:58005 | Zbl 0405.58006

[15] J.-L. Verdier, Stratifications de Whitney et théorème de Bertini-Sard (Invent. Math., Vol. 36, 1976, pp. 295-312). | MR 58 #1242 | Zbl 0333.32010

[16] C. T. C. Wall, Regular Stratifications, Dynamical Systems, Warwick, 1974 (Springer Lecture Notes, No. 468, 1975, pp. 332-344). | MR 58 #31184 | Zbl 0439.58008

[17] C. T. C. Wall, Geometric Properties of Generic Differentiable Manifolds, Geometry and Topology, Rio de Janeiro, July 1976 (Springer Lecture Notes, No. 597, Berlin, 1977, pp. 707-774). | MR 58 #13144 | Zbl 0361.58004

[18] H. Whitney, Tangents to an Analytic Variety (Annals of Math., Vol. 81, 1965, pp. 496-549). | MR 33 #745 | Zbl 0152.27701

[19] K. Wirthmuller, Stratifications and flows, in [2].