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Familles De Surfaces Differentiables
Author(s) -
Dufour J. P.,
Jean P.
Publication year - 1990
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-42.1.175
Subject(s) - diagram , submersion (mathematics) , mathematics , topology (electrical circuits) , pure mathematics , computer science , combinatorics , statistics , differentiable function
We study locally one‐parameter families of smooth surfaces ofℝ 3 . Such a family is identified with a diagram of smooth maps ℝ ← f ℝ 3 → σ ℝ 3where f is a submersion. We give a generic classification of these families, and their local models. We compare their topological and smooth stabilities.