zbMATH — the first resource for mathematics

Sur le groupe des difféomorphismes du tore. (French) Zbl 0269.58004

58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
22A05 Structure of general topological groups
Full Text: DOI Numdam EuDML
[1] V. I. ARNOLD, Small denominators I, Trans. A.M.S. 2e série, v. 46, p. 213-284. · Zbl 0152.41905
[2] J. CERF, Bull. soc. math. fr., 89, 1961, p. 227-380. · Zbl 0101.16001
[3] J. DIEUDONNÉ, Fondements de l’analyse moderne, t. I, Gauthier-Villars, Paris 1967.
[4] D. B. A. EPSTEIN, «diff (M) is simple?» symposium on differential equations and dynamical systems, lecture notes n° 206, Springer-Verlag, 1971, p. 52-54, voir aussi du même auteur. The simplicity of certain groups of Homeomorphisms, composito Mathematica, vol. 22, fasc. 2, 1970, p. 165-173. · Zbl 0205.28201
[5] M. HERMAN et F. SERGERAERT, Sur un théorème d’Arnold et Kolmogorov, C.R. Acad. Sc. Paris, t. 273, p. 409-411. · Zbl 0217.49601
[6] S. LANG, Transcendental numbers and Diophantine approximations, B.A.M.S., volume 77, Sep. 1971, p. 635-677. · Zbl 0218.10053
[7] J. MATHER, On Heafliger’s classifying, Space I, B.A.M.S., nov. 1971, p. 1111-1115. · Zbl 0224.55022
[8] J. MOSER, Ann. scuola. norm. sup. di Pisa, 20, 1966, p. 265-315. · Zbl 0144.18202
[9] F. SERGERAERT, Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications, Ann. Scient. Éc. Nor. Sup., 4e série, t. 5, 1972, p. 599-660. · Zbl 0246.58006
[10] F. SERGERAERT, Annonce dans ce volume.
[11] T. SCHNEIDER, «introduction aux nombres transcendants». Traduction Gauthiers-Villars, 1959. · Zbl 0098.26304
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.