Geometric versions of Whitney regularity for smooth stratifications
Annales scientifiques de l'École Normale Supérieure (1979)
- Volume: 12, Issue: 4, page 453-463
- ISSN: 0012-9593
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topTrotman, David J. A.. "Geometric versions of Whitney regularity for smooth stratifications." Annales scientifiques de l'École Normale Supérieure 12.4 (1979): 453-463. <http://eudml.org/doc/82040>.
@article{Trotman1979,
author = {Trotman, David J. A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Whitney conditions for stratified sets},
language = {eng},
number = {4},
pages = {453-463},
publisher = {Elsevier},
title = {Geometric versions of Whitney regularity for smooth stratifications},
url = {http://eudml.org/doc/82040},
volume = {12},
year = {1979},
}
TY - JOUR
AU - Trotman, David J. A.
TI - Geometric versions of Whitney regularity for smooth stratifications
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 4
SP - 453
EP - 463
LA - eng
KW - Whitney conditions for stratified sets
UR - http://eudml.org/doc/82040
ER -
References
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- [2] C. G. GIBSON et al., Topological Stability of Smooth Mappings (Springer Lecture Notes, Vol. 552, Berlin, 1976). Zbl0377.58006MR55 #9151
- [3] M. HIRSCH, Differential Topology, Springer-Verlag, New York, 1976. Zbl0356.57001MR56 #6669
- [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). Zbl0456.58003MR81g:58002b
- [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)]. Zbl0246.32006MR43 #5056
- [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). Zbl0107.17201
- [9] R. THOM, Propriétés différentielles locales des ensembles analytiques (Séminaire Bourbaki, No. 281, pp. 1964-1965). Zbl0184.31402
- [10] R. THOM, Ensembles et morphismes stratifiés (Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 240-284). Zbl0197.20502MR39 #970
- [11] D. J. A. TROTMAN, A Transversality Property Weaker than Whitney (a)-regularity (Bull. London Math. Soc., Vol. 8, 1976, pp. 225-228). Zbl0344.57009MR54 #11381
- [12] D. J. A. TROTMAN, Geometric Versions of Whitney Regularity (Math. Proc. Camb. Phil. Soc., Vol. 80, 1976, pp. 99-101). Zbl0329.57010MR53 #9284
- [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)]. Zbl0405.58006MR81f:58005
- [15] J.-L. VERDIER, Stratifications de Whitney et théorème de Bertini-Sard (Invent. Math., Vol. 36, 1976, pp. 295-312). Zbl0333.32010MR58 #1242
- [16] C. T. C. WALL, Regular Stratifications, Dynamical Systems, Warwick, 1974 (Springer Lecture Notes, No. 468, 1975, pp. 332-344). Zbl0439.58008MR58 #31184
- [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). Zbl0361.58004MR58 #13144
- [18] H. WHITNEY, Tangents to an Analytic Variety (Annals of Math., Vol. 81, 1965, pp. 496-549). Zbl0152.27701MR33 #745
- [19] K. WIRTHMULLER, Stratifications and flows, in [2].
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