Topological equivalence of finitely determined real analytic plane-to-plane map-germs

Details Topological equivalence of finitely determined real analytic plane-to-plane map-germs Topological equivalence of finitely determined real analytic plane-to-plane map-germs

2009-04-14

arxiv.org/abs/0904.2141v1

Mathematics

Differential Geometry

19 pages, 2 figures

Scientific paper

Generic smooth plane-to-plane map germs are topologically equivalent to cones
of mappings of the circle. We carry out a complete topological classification
of smooth stable mappings of the circle and show how this classification leads,
via the result mentioned above, to a topological classification of finitely
determined real analytic plane-to-plane map germs.

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