Abstract
We prove that every arc-analytic semialgebraic function on an arc-symmetric set X in \(\mathbb {R}^n\) admits an arc-analytic semialgebraic extension to the whole \(\mathbb {R}^n\).
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Communicated by Jean-Yves Welschinger.
J. Adamus’s research was partially supported by the Natural Sciences and Engineering Research Council of Canada.
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Adamus, J., Seyedinejad, H. Extensions of arc-analytic functions. Math. Ann. 371, 685–693 (2018). https://doi.org/10.1007/s00208-017-1639-7
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DOI: https://doi.org/10.1007/s00208-017-1639-7