@article{PMIHES_1981__54__37_0,
author = {Shiota, Masahiro},
title = {Equivalence of differentiable mappings and analytic mappings},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {37--122},
year = {1981},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {54},
mrnumber = {84k:58039},
zbl = {0516.58012},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1981__54__37_0/}
}
TY - JOUR AU - Shiota, Masahiro TI - Equivalence of differentiable mappings and analytic mappings JO - Publications Mathématiques de l'IHÉS PY - 1981 SP - 37 EP - 122 VL - 54 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1981__54__37_0/ LA - en ID - PMIHES_1981__54__37_0 ER -
Shiota, Masahiro. Equivalence of differentiable mappings and analytic mappings. Publications Mathématiques de l'IHÉS, Tome 54 (1981), pp. 37-122. https://www.numdam.org/item/PMIHES_1981__54__37_0/
[1] , On the solution of analytic equations, Inv. Math., 5 (1968), 277-291. | Zbl | MR
[2] , A converse of the Kuiper-Kuo Theorem, Lecture Notes in Math., Springer, 192 (1971), 254-261. | Zbl | MR
[3] , Zur Łojasiewicz-Ungleichung für differenzierbare Funktionen, Manuscripta Math., 20 (1977), 255-262. | Zbl
[4] , Several complex variables, Local theory, Oxford, 1963. | Zbl | MR
[5] , , Smoothings of piecewise linear manifolds, Ann. Math. Studies, 80, Princeton Univ. Press, 1974. | Zbl | MR
[6] , Linear partial differential operators, Springer, 1969.
[7] , Real analytic germs and their varieties at isolated singularities, Inv. Math., 37 (1976), 193-199. | Zbl | MR
[8] , Foundational essays on topological manifolds, smoothings, and triangulation, Ann. Math. Studies, 88, Princeton Univ. Press, 1977. | Zbl | MR
[9] , The jet space Jr(n, p), Lecture Notes in Math., Springer, 192 (1971), 169-177. | Zbl | MR
[10] , A canonical form for an analytic function of several variables at a critical point, Bull. Amer. Math. Soc., 66 (1960), 68-69. | Zbl | MR
[11] , A polynomial canonical form for certain analytic functions of two variables at a critical point, Bull. Amer. Math. Soc., 66 (1960), 366-368. | Zbl | MR
[12] , Ideals of differentiable functions, Oxford Univ. Press, 1966. | Zbl
[13] , Sur les points singuliers des équations différentielles, Séminaire Goulaouic-Schwartz, 1972. | Zbl | MR | Numdam
[14] , How to stratify mapping and jet spaces, Lecture Notes in Math., Springer, 535 (1975), 128-176. | Zbl | MR
[15] , Stability of C∞ mappings, III. Finitely determined map germs, Publ. Math. I.H.E.S., 35 (1968), 127-156. | Zbl | MR | Numdam
[16] , Affine structures in 3-manifolds V. The triangulation theorem and Hauptvermutung, Ann. Math., 56 (1952), 96-114. | Zbl | MR
[17] , Geometric topology in dimension 2 and 3, GTM, Springer, 1977. | Zbl | MR
[18] , Obstructions to the smoothing of piecewise differentiable structures, Ann. Math., 72 (1960), 521-554. | Zbl | MR
[19] , Obstructions to imposing differentiable structures, Illinois J. Math., 8 (1964), 361-376. | Zbl | MR
[20] , Local rings, John Wiley, 1962. | Zbl | MR
[21] , Equivariant real algebraic differential topology, Part I. Smoothness categories and Nash manifolds, Notes Brandeis Univ., 1972. | Zbl
[22] , Nichtdifferenzierbare Morphismen differenzierbarer Räume, Manuscripta Math., 15 (1975), 243-250. | Zbl | MR
[23] , Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3, Ann. Inst. Fourier, Grenoble, 26 (1976), 73-107. | Zbl | MR | Numdam
[24] , Differentiable functions equivalent to analytic functions, Publ. RIMS, Kyoto Univ., 9 (1973), 113-121. | Zbl | MR
[25] , Transformations of germs of differentiable functions through changes of local coordinates, Publ. RIMS, Kyoto Univ., 9 (1973), 123-140. | Zbl | MR
[26] , On germs of differentiable functions in two variables, Publ. RIMS, Kyoto Univ., 9 (1974), 319-324. | Zbl | MR
[27] , Some results on formal power series and differentiable functions, Publ. RIMS, Kyoto Univ., 12 (1976), 49-53. | Zbl | MR
[28] , Thesis, Univ. of Rennes, France, 1978.
[29] , Deformation of homeomorphisms on stratified sets, Comm. Math. Helv, 47 (1972), 123-163. | Zbl | MR
[30] , , Sur la clôture intégrale d'un idéal de germes de fonctions holomorphes en un point de Cn, C.R. Acad. Sc. Paris, 278 (1974), 949-951. | Zbl | MR
[31] , Idéaux de fonctions différentiables I, Ann. Inst. Fourier, 18 (1968), 177-240. | Zbl | MR | Numdam
[32] , Some properties of the ring of germs of C∞ functions, Compositio Math., 34 (1977), 99-108. | Zbl | MR | Numdam
[33] , A function not constant on a connected set of critical points, Duke Math. J., 1 (1935), 514-517. | Zbl | JFM
[34] , Local properties of analytic varieties, Differential and Combinatorial topology, Princeton Univ. Press, 1965, 205-244. | Zbl | MR
[35] , Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc., 36 (1934), 63-89. | Zbl | MR | JFM
[36] , Analytic topology, Amer. Math. Soc. Colloq. Publ., 28, 1942. | Zbl | MR





