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The Pierce-Birkhoff Conjecture for Curves

Published online by Cambridge University Press:  20 November 2018

Murray Marshall
Murray Marshall*
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan, S7N 0W0
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Abstract

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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.

Keywords

06F2512J1513J2514G3014H20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1262 - 1271
Copyright
Copyright © Canadian Mathematical Society 1992

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