Topological equivalence of finitely determined real analytic plane-to-plane map-germs
Differential Geometry
2009-04-15 v1 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.0904.2141,
title = {Topological equivalence of finitely determined real analytic plane-to-plane map-germs},
author = {Olav Skutlaberg},
journal= {arXiv preprint arXiv:0904.2141},
year = {2009}
}
Comments
19 pages, 2 figures