Geodesic
The Pierce-Birkhoff Conjecture for Curves
Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1262-1271

Voir la notice de l'article provenant de la source Cambridge University Press

The 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.
DOI : 10.4153/CJM-1992-075-0
Mots-clés : 06F25, 12J15, 13J25, 14G30, 14H20 
Marshall, Murray. The Pierce-Birkhoff Conjecture for Curves. Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1262-1271. doi: 10.4153/CJM-1992-075-0
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