Topological rigidity for certain families of differentiable plane curves

Jean Paul Dufour, Yasuhiro Kurokawa

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Abstract

It is shown that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case (that is, the double local case). The normal form of transversely joined two families of plane curves with second-order contact at the envelope is also given.

Original languageEnglish
Pages (from-to)223-242
Number of pages20
JournalJournal of the London Mathematical Society
Volume65
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1

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ASJC Scopus subject areas

  • Mathematics(all)

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