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Session 30. Real Algebraic Geometry, applications and related topics
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Arc-quasianalytic functions |
Guillaume Valette, Jagiellonian University, Poland
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The talk is based on the joint work with Edward Bierstone and Pierre D. Milman.
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I will present the results of a joint work with E. Bierstone and
P. Milman. We will focus on the tame quasianalytic classes of
functions. I will explain that if a function \(f\colon U \to
\mathbb{R}\) is quasianalytic along every definable arc and has
quasianalytic graph then this function becomes quasianalytic after
finitely many local blowing-ups of smooth admissible centers. This
generalizes a theorem of the first two authors about arc-analytic
functions.
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