Michael's selection theorem for a mapping definable in an O-minimal structure defined on a set of dimesion 1
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Michael's selection theorem, o-minimal structure, finite graphAbstrakt
Let $R$ be a real closed field and let some o-minimal structure extending $R$ be given. Let $F\colon X \rightrightarrows R^m$ be a definable multivalued lower semicontinuous mapping with nonempty definably connected values defined on a definable subset $X$ of $R^n$ of dimension $1$ ($X$ can be identified with a finite graph immersed in $R^n$). Then $F$ admits a definable continuous selection.Pobrania
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2017-01-11
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CZAPLA, Małgorzata & PAWŁUCKI, Wiesław. Michael’s selection theorem for a mapping definable in an O-minimal structure defined on a set of dimesion 1. Topological Methods in Nonlinear Analysis [online]. 11 styczeń 2017, T. 49, nr 1, s. 377–380. [udostępniono 22.7.2024].
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