Geometric versions of Whitney regularity for smooth stratifications

David J. A. Trotman

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 4, page 453-463
  • ISSN: 0012-9593

How to cite

top

Trotman, 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

top
  1. [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). Zbl0425.58005
  2. [2] C. G. GIBSON et al., Topological Stability of Smooth Mappings (Springer Lecture Notes, Vol. 552, Berlin, 1976). Zbl0377.58006MR55 #9151
  3. [3] M. HIRSCH, Differential Topology, Springer-Verlag, New York, 1976. Zbl0356.57001MR56 #6669
  4. [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. [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. [6] J. MATHER, Notes on topological stability, Harvard University, 1970. 
  7. [7] J. MATHER, Stratifications and Mappings, in Dynamical Systems (edited by M. PEIXOTO, Ed.), Academic Press, 1971, pp. 195-223. 
  8. [8] J. R. MUNKRES, Elementary differential topology (Annals Study, Vol. 54, Princeton, 1968). Zbl0107.17201
  9. [9] R. THOM, Propriétés différentielles locales des ensembles analytiques (Séminaire Bourbaki, No. 281, pp. 1964-1965). Zbl0184.31402
  10. [10] R. THOM, Ensembles et morphismes stratifiés (Bull. Amer. Math. Soc., Vol. 75, 1969, pp. 240-284). Zbl0197.20502MR39 #970
  11. [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. [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. [13] D. J. A. TROTMAN, Whitney Stratifications : Faults and Detectors (Thesis, Warwick University, 1977). 
  14. [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. [15] J.-L. VERDIER, Stratifications de Whitney et théorème de Bertini-Sard (Invent. Math., Vol. 36, 1976, pp. 295-312). Zbl0333.32010MR58 #1242
  16. [16] C. T. C. WALL, Regular Stratifications, Dynamical Systems, Warwick, 1974 (Springer Lecture Notes, No. 468, 1975, pp. 332-344). Zbl0439.58008MR58 #31184
  17. [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. [18] H. WHITNEY, Tangents to an Analytic Variety (Annals of Math., Vol. 81, 1965, pp. 496-549). Zbl0152.27701MR33 #745
  19. [19] K. WIRTHMULLER, Stratifications and flows, in [2]. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.