Real Algebraic and Analytic Geometry |

O-minimal version of Whitney's extension theorem.

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Submission: 2014, March 4.

*Abstract:
This is a generalized and improved version of our earlier article [KPaw]
on the Whitney extension theorem for subanalytic C^p
Whitney fields (with p finite). In this new version we consider Whitney fields definable in
arbitrary o-minimal structure on any real closed field R and obtain an extension which is C^p-function definable
in the same o-minimal structure. The Whitney fields that we consider are defined
on any locally closed definable subset of R^n. In such a way, a local version of the
theorem is included.*

Mathematics Subject Classification (2010): 14P10. Secondary 32B20, 03C64, 14P15.

Keywords and Phrases: Whitney field, o-minimal structure.

**Full text**, 15p.:
pdf 216k.

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