@article{PMIHES_1989__70__5_0, author = {Du Plessis, Andrew Allan and Wall, C. T. C.}, title = {On $C^1$-stability and $C^1$-determinacy}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {70}, year = {1989}, pages = {5-46}, mrnumber = {91j:58025}, zbl = {0712.58010}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1989__70__5_0} }
Du Plessis, A. A.; Wall, C. T. C. On $C^1$-stability and $C^1$-determinacy. Publications Mathématiques de l'IHÉS, Tome 70 (1989) pp. 5-46. http://gdmltest.u-ga.fr/item/PMIHES_1989__70__5_0/
[1] Singularities of differentiable maps, Publ. Math. IHES, 33 (1967), 21-57. | Numdam | MR 37 #6945 | Zbl 0165.56803
,[2] On finite and infinite Ck-A determinacy, Univ. of Oslo, preprint series, 1984, No. 14.
,[3] Topological stability in the nice dimensions, Topology, 18 (1979), 129-142. | MR 80h:58015 | Zbl 0454.58003
,[4] Classification of equidimensional contact-unimodular map-germs, Math. Scand., 56 (1985), 15-28. | MR 87a:58027 | Zbl 0579.32014
, and , ,[5] Sur le quotient d'une variété algébrique par un groupe algébrique, in Mathematical Analysis and Applications, Adv. on Math. Supp. Studies, vol. 7A, Academic Press, 1981, 327-344. | Zbl 0473.14019
, and , ,[6] Topological stability of smooth mappings, Springer LN M, 552, Springer Verlag, 1976. | MR 55 #9151 | Zbl 0377.58006
, , , , , , ,[7] Differential topology, Springer GTM, 33, Springer Verlag, 1976. | MR 56 #6669 | Zbl 0356.57001
,[8] Stability of C∞ mappings, I. Ann. of Math., 87 (1968), 89-104 ; II. Ann. of Math., 89 (1969), 259-291 ; III. Publ. Math. IHES, 35 (1969), 127-156 ; IV. Publ. Math. IHES, 37 (1970), 223-248 ; V. Adv. in Math., 4 (1970), 301-335 ; VI. Springer LNM, 192, Springer Verlag, 1971, 207-255. | MR 38 #726 | Zbl 0216.20801
,[9] Stratifications and mappings, Proc. Conf. on Dynamical Systems, ed. M. M. Peixoto, Academic Press, 1973, 195-232. | MR 51 #4306 | Zbl 0286.58003
,[10] How to stratify mappings and jet-spaces, Springer LNM 535, Springer Verlag, 1976, 128-176. | MR 56 #13259 | Zbl 0398.58008
,[11] Some non-finitely determined map-germs, Symposia Mathematica, II (1969), 303-320. | MR 41 #4564 | Zbl 0187.20504
,[12] Transversality properties of topologically stable mappings, Thesis, Harvard Univ., 1973 ; see also Stability and Transversality, Bull. AMS, 80 (1974), 85-89. | Zbl 0281.58005
,[13] Le lemme de Thom et les théorèmes de plongement de Whitney, I. Séminaire Henri-Cartan, 4 (1961-1962). | Numdam | Zbl 0121.39902
,[14] On the genericity of topologically finitely-determined map-germs, Topology, 21 (1982), 131-156. | MR 83e:58010 | Zbl 0499.58007
,[15] Genericity and smooth finite determinacy, Proc. Symp. Pure Math. AMS, 40, I (1983), 295-312. | MR 85c:58016 | Zbl 0523.58009
, ,[16] On mappings of finite codimension, Proc. LMS, 50 (1985), 114-130. | MR 86d:58008 | Zbl 0559.58006
,[17] On right-equivalence, Math. Z., 190 (1985), 163-205. | MR 87d:58027 | Zbl 0593.58014
, and , ,[18] Simple singularities of maps, Springer LNM, 192, Springer Verlag, 1971, 286-307. | MR 45 #2723 | Zbl 0221.57016
,[19] The topology of fibre bundles, Princeton, Math. Series 14, Princeton UP, 1951. | MR 12,522b | Zbl 0054.07103
,[20] Singularities of differentiable mappings, Bonn. Math. Schrift, 6 (1959), republished in Springer LNM, 192, Springer Verlag, 1971, 1-89. | Zbl 0216.45803
, and , ,[21] Local topological properties of differentiable mappings, Coll. on Differential Analysis, Tata Inst., OUP, 1964, 191-202. | MR 33 #3307 | Zbl 0151.32002
,[22] Local topological properties of analytic mappings, Math. USSR-Izv., 7 (1973), 883-917. | MR 48 #9754 | Zbl 0291.32010
,[23] Local topological properties of differentiable mappings, Math. USSR-Izv., 8 (1974), 1033-1082. | Zbl 0313.58009
,[24] Stability pencils and polytopes, Bull. LMS, 12 (1980), 401-421. | MR 82h:58009 | Zbl 0433.58006
,[25] Classification of unimodal isolated singularities of complete intersections, Proc. Symp. Pure Math. AMS, 40, 2 (1983), 625-640. | MR 85c:32018 | Zbl 0519.58013
,[26] Determination of the semi-nice dimensions, Math. Proc. Camb. Phil. Soc., 97 (1985), 79-88. | MR 86c:58011 | Zbl 0568.58008
,[27] Finite determinacy of smooth map-germs, Bull. LMS, 13 (1981), 481-539. | MR 83i:58020 | Zbl 0451.58009
,[28] Infinitely determined map-germs, Canad. J. Math., 33 (1981), 671-684. | MR 82k:58023 | Zbl 0476.58005
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