English

Topological rigidity for certain families of differentiable plane curves

Geometric Topology 2007-05-23 v1

Abstract

We show that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case(the double local case). Especially we give the normal form of transversely jointed two families of plane curves with second order contact at the envelope.

Keywords

Cite

@article{arxiv.math/9906105,
  title  = {Topological rigidity for certain families of differentiable plane curves},
  author = {Jean Paul Dufour and Yasuhiro Kurokawa},
  journal= {arXiv preprint arXiv:math/9906105},
  year   = {2007}
}

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25pages