Whitney's extension theorem in o-minimal structures
نویسندگان
چکیده
منابع مشابه
Whitney’s Extension Theorem in O-minimal Structures
In 1934, Whitney gave a necessary and sufficient condition on a jet of order m on a closed subset E of R to be the jet of order m of a C-function; jets satisfying this condition are known as C-Whitney fields. Later, Paw lucki and Kurdyka proved that subanalytic C-Whitney fields are jets of order m of sybanalytic C-functions. Here, we work in an o-minimal expansion of a real closed field and pro...
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In 1934, H. Whitney asked how one can determine whether a real-valued function on a closed subset of Rn is the restriction of a Cm-function on Rn. A complete answer to this question was found much later by C. Fefferman in the early 2000s. Here, we work in an o-minimal expansion of a real closed field and solve the C1-case of Whitney’s Extension Problem in this context. Our main tool is a defina...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2017
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap3940-2-2017