Abstract
AbstractThe results obtained extend Madden’s result for Dedekind domains to more general types of 1-dimensional Noetherian rings. In particular, these results apply to piecewise polynomial functions t:C → R where R is a real closed field and C ⊆ Rn is a closed 1-dimensional semi-algebraic set, and also to the associated “relative” case where t, C are defined over some subfield K ⊆ R.
Publisher
Canadian Mathematical Society
Cited by
9 articles.
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1. On the strong separation conjecture;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2019-07-17
2. On the Pierce–Birkhoff conjecture;Journal of Algebra;2015-08
3. Embedding and canonizing graphs of bounded genus in logspace;Proceedings of the forty-sixth annual ACM symposium on Theory of computing;2014-05-31
4. Extending piecewise polynomial functions in two variables;Annales de la Faculté des sciences de Toulouse : Mathématiques;2014-02-13
5. Approximate roots of a valuation and the Pierce-Birkhoff conjecture;Annales de la Faculté des sciences de Toulouse : Mathématiques;2014-02-13