Let U be a neighbourhood of 0 ∈ ℂⁿ. We show that for a holomorphic mapping , F(0) = 0, the Łojasiewicz exponent ₀(F) is attained on the set z ∈ U: f₁(z)·...·fₘ(z) = 0.
@article{bwmeta1.element.bwnjournal-article-apmv67z3p297bwm,
author = {Jacek Ch\k adzy\'nski and Tadeusz Krasi\'nski},
title = {A set on which the local \L ojasiewicz exponent is attained},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {297-301},
zbl = {0912.32027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv67z3p297bwm}
}
Jacek Chądzyński; Tadeusz Krasiński. A set on which the local Łojasiewicz exponent is attained. Annales Polonici Mathematici, Tome 66 (1997) pp. 297-301. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv67z3p297bwm/
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