Sur la stabilité des diagrammes d'applications différentiables
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 10 (1977) no. 2, pp. 153-174.
@article{ASENS_1977_4_10_2_153_0,
     author = {Dufour, Jean-Paul},
     title = {Sur la stabilit\'e des diagrammes d'applications diff\'erentiables},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {153--174},
     publisher = {Elsevier},
     volume = {4e s{\'e}rie, 10},
     number = {2},
     year = {1977},
     doi = {10.24033/asens.1324},
     mrnumber = {56 #6702},
     zbl = {0354.58011},
     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/asens.1324/}
}
TY  - JOUR
AU  - Dufour, Jean-Paul
TI  - Sur la stabilité des diagrammes d'applications différentiables
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1977
SP  - 153
EP  - 174
VL  - 10
IS  - 2
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.24033/asens.1324/
DO  - 10.24033/asens.1324
LA  - fr
ID  - ASENS_1977_4_10_2_153_0
ER  - 
%0 Journal Article
%A Dufour, Jean-Paul
%T Sur la stabilité des diagrammes d'applications différentiables
%J Annales scientifiques de l'École Normale Supérieure
%D 1977
%P 153-174
%V 10
%N 2
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1324/
%R 10.24033/asens.1324
%G fr
%F ASENS_1977_4_10_2_153_0
Dufour, Jean-Paul. Sur la stabilité des diagrammes d'applications différentiables. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 10 (1977) no. 2, pp. 153-174. doi : 10.24033/asens.1324. https://www.numdam.org/articles/10.24033/asens.1324/

[1] N. A. Baas, Structural Stability of Composed Mappings, Parts I-III, Preprint, The Institute for Advanced Study, Princeton, 1974.

[2] J. P. Dufour, Déploiements de cascades d'application différentiables (Thèse 3e cycle, octobre 1975, Montpellier). | MR

[3] J. P. Dufour, Une limite aux extensions du théorème de préparation (C.R. Acad. Sc. Paris, t. 282, série A, 1976, p. 199-202). | MR | Zbl

[4] J. N. Mather, Stability of C∞ Mapping I, II, III, IV, V and VI.

[5] V. Poenaru, Singularités C∞ en présence de symétrie (Lecture notes in math., Springer Verlag, n° 510). | MR | Zbl

[6] F. Sergeraert, Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications (Ann. scient. Éc. Norm. Sup., 4e série, t. 5, 1972, p. 599-660). | Numdam | MR | Zbl

[7] J. C. Tougeron, Stabilité des applications différentiables (Séminaire Bourbaki, n° 336, 1967, p. 1). | Numdam | Zbl

[8] Y. H. Wan, Morse Theory for Two Functions (Topology, vol. 14, n° 3, p. 218-228). | MR | Zbl

[9] G. Wasserman, Stability of Unfoldings is Space and Time (Acta Math., vol. 135, 1975, p. 57-128). | Zbl

  • Teramoto, Hiroshi; Nabeshima, Katsusuke Comprehensive standard system for generalized mixed module and its application to singularity theory, Journal of Algebra and Its Applications, Volume 23 (2024) no. 13 | DOI:10.1142/s0219498824502219
  • Birbrair, Lev; Ferreira Costa, João Carlos; Da Silva Sena Filho, Edvalter; Mendes, Rodrigo Finiteness theorem for multi‐‐bi‐Lipschitz equivalence of map germs, Mathematische Nachrichten, Volume 291 (2018) no. 16, p. 2381 | DOI:10.1002/mana.201700243
  • Damon, James; Giblin, Peter; Haslinger, Gareth Introduction, Local Features in Natural Images via Singularity Theory, Volume 2165 (2016), p. 3 | DOI:10.1007/978-3-319-41471-3_1
  • BERGER, PIERRE Structural stability of attractor–repellor endomorphisms with singularities, Ergodic Theory and Dynamical Systems, Volume 32 (2012) no. 1, p. 1 | DOI:10.1017/s0143385710000878
  • Damon, James; Giblin, Peter; Haslinger, Gareth Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: II, SIAM Journal on Imaging Sciences, Volume 4 (2011) no. 1, p. 386 | DOI:10.1137/090771053
  • Damon, James; Giblin, Peter; Haslinger, Gareth Local Image Features Resulting from 3-Dimensional Geometric Features, Illumination, and Movement: I, International Journal of Computer Vision, Volume 82 (2009) no. 1, p. 25 | DOI:10.1007/s11263-008-0182-0
  • Martins, L. F.; Oliveira, R. D. S.; Tari, F. On pairs of regular foliations in R3 and singularities of map-germs, Geometriae Dedicata, Volume 135 (2008) no. 1, p. 103 | DOI:10.1007/s10711-008-9265-x
  • Jacquemard, A.; Pereira, W. F.; Teixeira, M. A. Generic Singularities of Relay Systems, Journal of Dynamical and Control Systems, Volume 13 (2007) no. 4, p. 503 | DOI:10.1007/s10883-007-9028-2
  • Thom, René Problèmes rencontrés dans mon parcours mathématique : un bilan, Publications mathématiques de l'IHÉS, Volume 70 (1989) no. 1, p. 199 | DOI:10.1007/bf02698877
  • Kuchko, L. P. Multidimensional functional equations and normalization of local matrix-functions, Siberian Mathematical Journal, Volume 29 (1988) no. 1, p. 54 | DOI:10.1007/bf00975016
  • Nakai, Isao Topology of complex webs of codimension one and geometry of projective space curves, Topology, Volume 26 (1987) no. 4, p. 475 | DOI:10.1016/0040-9383(87)90043-7
  • Thom, René Organs and Tools: A Common Theory of Morphogenesis, Complexity, Language, and Life: Mathematical Approaches, Volume 16 (1986), p. 197 | DOI:10.1007/978-3-642-70953-1_8
  • Janeczko, StanisŁaw A note on singular lagrangian submanifolds, Journal of Geometry and Physics, Volume 2 (1985) no. 3, p. 33 | DOI:10.1016/0393-0440(85)90002-6
  • Zakalyukin, V. M. Reconstructions of fronts and caustics depending on a parameter and versality of mappings, Journal of Soviet Mathematics, Volume 27 (1984) no. 3, p. 2713 | DOI:10.1007/bf01084818
  • Izumiya, Shy?ichi Generic bifurcations of varieties, Manuscripta Mathematica, Volume 46 (1984) no. 1-3, p. 137 | DOI:10.1007/bf01185199
  • Voronin, S. M. Analytic classification of pairs of involutions and its applications, Functional Analysis and Its Applications, Volume 16 (1982) no. 2, p. 94 | DOI:10.1007/bf01081623
  • de Medrano, Santiago López Topological aspects of matrix problems, Representations of Algebras, Volume 903 (1981), p. 196 | DOI:10.1007/bfb0092993

Cité par 17 documents. Sources : Crossref