## Germs of Diffeomorphisms in the Plane |

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### Contents

Summary some motivation and acknowledgments | 1 |

Introduction definitions formal study | 7 |

Statement of the results concerning characteristic | 26 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

1-mapping Algebraic analogous Banach Spaces blowing-up center manifold Ch.I chapter characteristic line characteristic orbit commuting with g conic neighbourhoods conjugacy conjugated consider coordinate change decomposition in sectors defined definition denote diffeo diffeomorphism Differential Equations Edited elliptic sectors estimates exists expression finite number finite type Finsler metric flat flat-C formal normal form function h fundamental theorem G Diff g G Diff(2 germ graph hence homeomorphism hyperbolic sector identity inside invariant IzlJ K U g(C k-jet lemma mapping Model Theory Moreover morphism nice decomposition nilpotent notations obtain partial derivatives positive constant Proceedings proof proposition prove quadrant R-invariant Remark resp result Riemannian metric Seminaire separatrices singularities of type space sufficiently small suppose tangent bundle Theory tojasiewicz type topological topologically conjugated vector field Vlll Whitney extension theorem