On the Pierce-Birkhoff conjecture

DOI10.1216/RMJ-1984-14-4-983zbMath0578.41008OpenAlexW2093064676WikidataQ123230150 ScholiaQ123230150MaRDI QIDQ5902937

Louis Mahé

Publication date: 1984

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1984-14-4-983

zbMATH Keywords

isolated pointspiecewise polynomialsPierce-Birkhoff conjecture

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Local analytic geometry (32B99) Real algebra (13J30)

Related Items (16)

Extending piecewise polynomial functions in two variables ⋮ Virtual roots of real polynomials ⋮ Towards understanding the Pierce-Birkhoff conjecture via MV-algebras ⋮ Approximate roots of a valuation and the Pierce-Birkhoff conjecture ⋮ Henriksen and Isbell on \(f\)-rings ⋮ Extension of the two-variable Pierce-Birkhoff conjecture to generalized polynomials ⋮ On the Pierce-Birkhoff conjecture for smooth affine surfaces over real closed fields ⋮ Free bounded Archimedean \(\ell\)-algebras ⋮ Théories géométriques pour l’algèbre des nombres réels ⋮ On the Pierce-Birkhoff conjecture ⋮ Discrete piecewise linear functions ⋮ A canonical form for the continuous piecewise polynomial functions ⋮ Pierce-Birkhoff rings ⋮ On the Pierce-Birkhoff conjecture in three variables ⋮ On connectedness of sets in the real spectra of polynomial rings ⋮ On the strong separation conjecture

This page was built for publication: On the Pierce-Birkhoff conjecture