A selection theorem for weak upper semi-continuous set-valued mappings
نویسندگان
چکیده
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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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1996
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700016932