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Some properties of the ring of germs of \(C^\infty\)-functions. (English) Zbl 0404.58012


MSC:

58C25 Differentiable maps on manifolds
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References:

[1] M. Artin : On the solutions of Analytic Equations . Inventiones Math. 5 (1968) 277-291. · Zbl 0172.05301
[2] T. Bröcker : Differentiable Germs and Catastrophes . Cambridge Univ. Press. 1975. · Zbl 0302.58006
[3] M. Van Der Put : A Problem on Coefficient Fields and Equations over Local Rings . Compositio Mathematica, Vol. 30, Fasc. 3, (1975) 235-258. · Zbl 0304.13018
[4] M. Raynaud : Anneaux Locaux Henséliens . Lect. Notes in Math. 169. · Zbl 0203.05102
[5] K. Reichard : Nichtdifferenzierbare Morphismen differenzierbare Räume . Manuscripta Math. 15 (1975) 243-250. · Zbl 0305.58003
[6] B. Malgrange : Ideals of differentiable functions . Oxford Univ. Press. 1966. · Zbl 0177.17902
[7] M. Shiota : Some results on formal power series and C\infty -functions . In Publ. R.I.M.S. Kyoto Univ. 12, 1976. (to appear). · Zbl 0338.13026
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