Universal topological stratification for the Pham example
Bulletin de la Société Mathématique de France (1993)
- Volume: 121, Issue: 2, page 153-181
- ISSN: 0037-9484
Access Full Article
topHow to cite
topDamon, James, and Galligo, André. "Universal topological stratification for the Pham example." Bulletin de la Société Mathématique de France 121.2 (1993): 153-181. <http://eudml.org/doc/87663>.
@article{Damon1993,
author = {Damon, James, Galligo, André},
journal = {Bulletin de la Société Mathématique de France},
keywords = {deformations; bimodal singularities; versal unfolding; versality discriminant; moduli space},
language = {eng},
number = {2},
pages = {153-181},
publisher = {Société mathématique de France},
title = {Universal topological stratification for the Pham example},
url = {http://eudml.org/doc/87663},
volume = {121},
year = {1993},
}
TY - JOUR
AU - Damon, James
AU - Galligo, André
TI - Universal topological stratification for the Pham example
JO - Bulletin de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 121
IS - 2
SP - 153
EP - 181
LA - eng
KW - deformations; bimodal singularities; versal unfolding; versality discriminant; moduli space
UR - http://eudml.org/doc/87663
ER -
References
top- [A] ARNOLD (V.I.). — Local normal forms of functions, Invent. Math., t. 35, 1976, p. 87-109. Zbl0336.57022MR57 #7646
- [BBB] BALKENBORG (D.), BAUER (R.) and BILITEWSKI (F.J.). — Beitrage zur Hierarchie der bimodularen Singularitaten, Diplomarbeit, Univ. Bonn, 1984.
- [B] BRIESKORN (E.). — Milnor Lattices and Dynkin Diagrams, Proc. Sympos. Pure Math., t. 40, I, 1983, p. 153-166. Zbl0527.14006MR85d:14002
- [D1] DAMON (J.). — Finite Determinacy and Topological Triviality I, Invent. Math., t. 62, 1980, p. 299-324; Sufficient Conditions and Topological Stability II, Compositio Math., t. 47, 1982, p. 101-132. Zbl0489.58003MR82f:58018
- [D2] DAMON (J.). — The Unfolding and determinacy theorems for Subgroups of A and K, Memoirs A.M.S., t. 50, n° 306, 1984, p. 233-254. Zbl0545.58010MR86b:58013
- [D3] DAMON (J.). — Topological Triviality and Versality for Subgroups of A and K, Memoirs A.M.S. 75, n° 389, 1988. Zbl0665.58005MR90a:58012
- [D4] DAMON (J.). — The versality Discriminant and local topological equivalence of mappings. - to appear in Annales Inst. Fourier. Zbl0703.58005
- [E] EBELING (W.). — On the monodromy groups of Singularities, Proc. Sympos. Pure Math., t. 40, I, 1983, p. 327-336. Zbl0518.32007MR85d:14003
- [E-W] EBELING (W.) and WALL (C.T.C.). — Kodaira Singularities and an extension of Arnold's Duality, Compositio Math., t. 56, 1985, p. 3-77. Zbl0586.14033MR87d:14027
- [G1] GALLIGO (A.). — A propos du théorème de préparation de Weierstrass, Lectures Notes in Math., t. 409, 1974, p. 543-579. Zbl0297.32003MR53 #5924
- [G2] GALLIGO (A.). — Théorème de division et stabilité en géométrie analytique locale, Ann. Inst. Fourier, t. 29, 1979, p. 107-184. Zbl0412.32011MR81e:32009
- [G3] GALLIGO (A.). — Algorithmes de calcul de base standard, Prépublication Université de Nice, 1983.
- [G-G] GOLUBITSKY (M.) and GUILLEMIN (V.). — Stable mappings and their Singularities, Grad. Texts Math. n° 14, Springer-Verlag, 1974. Zbl0294.58004MR49 #6269
- [L] LOOIJENGA (E.). — Semi-universal deformation of a simple elliptic hypersurface singularity I : unimodularity, Topology, t. 16, 1977, p. 257-262. Zbl0373.32004MR56 #8565
- [MAC] MACSYMA. — Reference Manual. - Version Ten, Symbolic Inc., 1984.
- [MAR] MARTINET (J.). — Déploiement versels des applications différentiables et classifications des applications stables, in Singularités d'Applications Différentiables, Plan-sur-Bex, Springer Lecture Notes n° 535, pp. 1-44, 1975. Zbl0362.58004MR58 #31178
- [M1] MATHER (J.). — Stability of C∞-mappings, II Infinitesimal stability implies stability, Ann. of Math. 2, t. 89, 1969, p. 254-291 ; III Finitely determined map germs, IHES Publ. Math., t. 36, 1968 p. 127-156 ; IV Classification of stable germs by R-algebras, IHES Publ. Math., t. 37, 1969, p. 223-248 ; V Transversality, Adv. in Math. t. 4, 1970, p. 301-336.
- [M2] MATHER (J.). — Stratification and mappings, in Dynamical Systems, ed. M. Peixoto, Academic Press, 1973, p. 195-232. Zbl0286.58003MR51 #4306
- [M3] MATHER (J.). — How to stratify Mappings and Jet Spaces, in Singularités d'Applications Différentiables, Plan-sur-Bex, Springer Lecture Notes n° 535, p. 128-176, 1975. Zbl0398.58008MR56 #13259
- [P] PHAM (F.). — Remarque sur l'équisingularité universelle. - Prépublication Université de Nice, 1970.
- [R] RONGA (F.). — Une application topologiquement stable qui ne peut pas être approchée par une application différentiablement stable, C.R. Acad. Sci. Paris Sér. A-B, t. 287, 1978, p. 779-780. Zbl0397.58009MR80f:58014
- [T] THOM (R.). — Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc., t. 75, 1, 1969, p. 240-284. Zbl0197.20502MR39 #970
- [W] WIRTHMULLER (K.). — Universel Topologische Triviale Deformationen. - Thesis, Univ. of Regensburg, 1980.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.