@article{1d0aec43fcb640db9ac5ca52eec3ea2f,
title = "Topological rigidity for certain families of differentiable plane curves",
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.",
author = "Dufour, {Jean Paul} and Yasuhiro Kurokawa",
note = "Funding Information: Part of this work was done when the second author visited the Getodim Institut de Mathematiques, Universite de Montpellier II, supported by research fellowships of the Japan Society for the Promotion of Science, and this work was completed when he was at the Instituto de Ci{\^e}ncias Matematicas e de Computac{\~a}o, USP, S{\~a}o Carlos, supported by a FAPESP grant. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2002",
doi = "10.1112/S0024610701002733",
language = "English",
volume = "65",
pages = "223--242",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "1",
}