@article{PMIHES_1989__70__5_0,
author = {Du Plessis, A. A. and Wall, C. T. C.},
title = {On $C^1$-stability and $C^1$-determinacy},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {5--46},
year = {1989},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {70},
mrnumber = {1067379},
zbl = {0712.58010},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1989__70__5_0/}
}
TY - JOUR AU - Du Plessis, A. A. AU - Wall, C. T. C. TI - On $C^1$-stability and $C^1$-determinacy JO - Publications Mathématiques de l'IHÉS PY - 1989 SP - 5 EP - 46 VL - 70 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1989__70__5_0/ LA - en ID - PMIHES_1989__70__5_0 ER -
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. https://www.numdam.org/item/PMIHES_1989__70__5_0/
[1] , Singularities of differentiable maps, Publ. Math. IHES, 33 (1967), 21-57. | Zbl | MR | Numdam
[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. | Zbl | MR
[4] , and , , Classification of equidimensional contact-unimodular map-germs, Math. Scand., 56 (1985), 15-28. | Zbl | MR
[5] , and , , 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
[6] , , , , , , , Topological stability of smooth mappings, Springer LN M, 552, Springer Verlag, 1976. | Zbl | MR
[7] , Differential topology, Springer GTM, 33, Springer Verlag, 1976. | Zbl | MR
[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. | Zbl | MR
[9] , Stratifications and mappings, Proc. Conf. on Dynamical Systems, ed. M. M. Peixoto, Academic Press, 1973, 195-232. | Zbl | MR
[10] , How to stratify mappings and jet-spaces, Springer LNM 535, Springer Verlag, 1976, 128-176. | Zbl | MR
[11] , Some non-finitely determined map-germs, Symposia Mathematica, II (1969), 303-320. | Zbl | MR
[12] , Transversality properties of topologically stable mappings, Thesis, Harvard Univ., 1973 ; see also Stability and Transversality, Bull. AMS, 80 (1974), 85-89. | Zbl
[13] , Le lemme de Thom et les théorèmes de plongement de Whitney, I. Séminaire Henri-Cartan, 4 (1961-1962). | Zbl | Numdam
[14] , On the genericity of topologically finitely-determined map-germs, Topology, 21 (1982), 131-156. | Zbl | MR
[15] , , Genericity and smooth finite determinacy, Proc. Symp. Pure Math. AMS, 40, I (1983), 295-312. | Zbl | MR
[16] , On mappings of finite codimension, Proc. LMS, 50 (1985), 114-130. | Zbl | MR
[17] , and , , On right-equivalence, Math. Z., 190 (1985), 163-205. | Zbl | MR | EuDML
[18] , Simple singularities of maps, Springer LNM, 192, Springer Verlag, 1971, 286-307. | Zbl | MR
[19] , The topology of fibre bundles, Princeton, Math. Series 14, Princeton UP, 1951. | Zbl | MR
[20] , and , , Singularities of differentiable mappings, Bonn. Math. Schrift, 6 (1959), republished in Springer LNM, 192, Springer Verlag, 1971, 1-89. | Zbl
[21] , Local topological properties of differentiable mappings, Coll. on Differential Analysis, Tata Inst., OUP, 1964, 191-202. | Zbl | MR
[22] , Local topological properties of analytic mappings, Math. USSR-Izv., 7 (1973), 883-917. | Zbl | MR
[23] , Local topological properties of differentiable mappings, Math. USSR-Izv., 8 (1974), 1033-1082. | Zbl
[24] , Stability pencils and polytopes, Bull. LMS, 12 (1980), 401-421. | Zbl | MR
[25] , Classification of unimodal isolated singularities of complete intersections, Proc. Symp. Pure Math. AMS, 40, 2 (1983), 625-640. | Zbl | MR
[26] , Determination of the semi-nice dimensions, Math. Proc. Camb. Phil. Soc., 97 (1985), 79-88. | Zbl | MR
[27] , Finite determinacy of smooth map-germs, Bull. LMS, 13 (1981), 481-539. | Zbl | MR
[28] , Infinitely determined map-germs, Canad. J. Math., 33 (1981), 671-684. | Zbl | MR






