Extending piecewise polynomial functions in two variables
نویسندگان
چکیده
منابع مشابه
Extending Piecewise Polynomial Functions in Two Variables
We study the extensibility of piecewise polynomial functions defined on closed subsets of R2 to all of R2. The compact subsets of R2 on which every piecewise polynomial function is extensible to R2 can be characterized in terms of local quasi-convexity if they are definable in an o-minimal expansion of R. Even the noncompact closed definable subsets can be characterized if semialgebraic functio...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2013
ISSN: 0240-2963
DOI: 10.5802/afst.1372