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Licensed Unlicensed Requires Authentication Published by De Gruyter October 1, 2013

On the singular locus of sets definable in a quasianalytic structure

  • Krzysztof Jan Nowak EMAIL logo
From the journal Advances in Geometry

Abstract

Given a quasianalytic structure, we prove that the singular locus of a quasi-subanalytic set E is a closed quasi-subanalytic subset of E. We rely on some stabilisation effects linked to Gateaux differentiability and formally composite functions. An essential ingredient of the proof is a quasianalytic version of Glaeser’s composite function theorem, presented in our previous paper.

Published Online: 2013-10-01
Published in Print: 2013-10

© 2013 by Walter de Gruyter GmbH & Co.

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