Hostname: page-component-669899f699-ggqkh Total loading time: 0 Render date: 2025-04-27T06:23:55.840Z Has data issue: false hasContentIssue false
  • English
  • Français

TOPOLOGICAL RIGIDITY FOR CERTAIN FAMILIES OF DIFFERENTIABLE PLANE CURVES

Published online by Cambridge University Press:  06 March 2002

JEAN PAUL DUFOUR  and
YASUHIRO KUROKAWA
JEAN PAUL DUFOUR
Affiliation:
Getodim Institut de Mathématiques, Université de Montpellier II, Place E Bataillon, 34060 Montpellier Cedex, France; [email protected]
YASUHIRO KUROKAWA
Affiliation:
Kita-ku Kita 37, Nishi 3, 1–25, Sapporo 001-0037, Japan; [email protected]
Get access

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.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 223 - 242
Copyright
2002 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable