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oai:docta.ucm.es:20.500.14352/575932023-08-26T15:14:33Zcom_20.500.14352_14col_20.500.14352_15

Deformations of functions without real critical points Luengo Velasco, Ignacio González Ramírez, Jorge A. 517 Singularities Real analytic function One critical point Deformation Análisis matemático 1202 Análisis y Análisis Funcional Given a real analytic function f(x, y) with one critical point P-0, we Study deformations f(1) of f such that, for any t not equal 0, the analytic function f(t) has no critical points in a neighborhood of P-0. We give explicitly a deformation without real critical points for any function which has only one real branch with characteristic exponents (4, 2q, r). Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:59:48Z 2023-06-20T16:59:48Z 2003 journal article https://hdl.handle.net/20.500.14352/57593 0092-7872 10.1081/AGB-120022790 metadata only access Taylor & Francis