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Topological Equivalence of Diffeomorphisms and Curves

✍ Scribed by C. Bonatti; M.A. Teixeira


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
300 KB
Volume
118
Category
Article
ISSN
0022-0396

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✦ Synopsis


This paper contains the study of the simultaneous local behavior of a couple of "diffeomorphism-curves" in the plane. We present a classification of such couples, via topological equivalence. 1995 Academic Press. Inc


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Topological Equivalence of Planar Vector
✍ Vesna Ε½upanoviΔ‡ πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 185 KB

Let X(R 2 ) be the space of C planar vector fields. We consider the space V/X(R 2 ) of vector fields with an isolated singularity and a fixed Newton diagram. We define the generalised principal part X 2 of the vector field X # V and give the nondegeneracy condition on X 2 , using the Newton diagram.