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arxiv: 1706.06431 · v2 · pith:CAJ35WOWnew · submitted 2017-06-16 · 🧮 math.AG

Extensions of arc-analytic functions

classification 🧮 math.AG
keywords arc-analyticsemialgebraicadmitsambientarc-symmetriceuclideaneveryextension
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We prove that every arc-analytic semialgebraic function on an arc-symmetric set admits an arc-analytic semialgebraic extension to the whole ambient Euclidean space.

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