A set on which the local Łojasiewicz exponent is attained

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Jacek Chądzyński, Tadeusz Krasiński Annales Polonici Mathematici 67 (1997), 297-301 DOI: 10.4064/ap-67-3-297-301

Let U be a neighbourhood of 0 ∈ ℂⁿ. We show that for a holomorphic mapping $F = (f₁,..., fₘ): U → ℂ^m$, F(0) = 0, the Łojasiewicz exponent