منابع مشابه
A Sard Theorem for Set-Valued Mappings∗†
If F is a set-valued mapping from IRn into IRm with closed graph, then y ∈ IRm is a critical value of F if for some x with y ∈ F (x), F is not metrically regular at (x, y). We prove that the set of critical values of a set-valued mapping whose graph is a definable (tame) set in an o-minimal structure containing additions and multiplications is a set of dimension not greater than m − 1 (resp. a ...
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If F is a set-valued mapping from IR n into IR m with closed graph, then y ∈ IR m is a critical value of F if for some x with y ∈ F (x), F is not metrically regular at (x, y). We prove that the set of critical values of a set-valued mapping whose graph is a definable (tame) set in an o-minimal structure containing additions and multiplications is a set of dimension not greater than m − 1 (resp....
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1994
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-67-2-217-221