Uniform (m)-condition and Strong Milnor fibrations

Original · EN

In this paper we study the Milnor fibrations associated to real analytic map germs ψ:(Rᵐ,0) → (R²,0) with isolated critical point at 0∈ Rᵐ. The main result relates the existence of called Strong Milnor fibrations with a transversality condition of a convenient family of analytic varieties with isolated critical points at the origin 0∈ Rᵐ, obtained by projecting the map germ ψ in the family L₋θ of all lines through the origin in the plane R².