Semialgebraic version of Whitney’s extension theorem. (English) Zbl 1419.58008

Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna

Arch. Math. 113, No. 1, 59-62 (2019).

Authors’ abstract: In this note we prove a semialgebraic counterpart of Whitney’s extension theorem.

Reviewer: Dian K. Palagachev (Bari)

MSC:

58C25	Differentiable maps on manifolds
14P20	Nash functions and manifolds
57R35	Differentiable mappings in differential topology
03C64	Model theory of ordered structures; o-minimality
58A07	Real-analytic and Nash manifolds

Keywords:

Whitney field; extension theorem; \(C^p\)-functions; Nash functions

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