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- W2963485931 abstract "We will prove that the Pierce-Birkhoff Conjecture holds for non-singular two-dimensional affine real algebraic varieties over real closed fields, i.e., if W is such a variety, then every piecewise polynomial function on W can be written as suprema of infima of polynomial functions on W. More precisely, we will give a proof of the so-called Connectedness Conjecture for the coordinate rings of such varieties, which implies the Pierce-Birkhoff Conjecture." @default.
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- W2963485931 date "2010-01-01" @default.
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- W2963485931 title "On the Pierce-Birkhoff Conjecture for Smooth Affine Surfaces over Real Closed Fields" @default.
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- W2963485931 doi "https://doi.org/10.5802/afst.1283" @default.
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