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arXiv · 1806.11004

Substitution Property for the Ring of Continuous Rational Functions

Goulwen Fichou·Jean-Philippe Monnier·Ronan Quarez
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Abstract

We study the substitution property for the ring R 0 (V) of continuous rational functions on a real algebraic affine variety V. We show that R 0 (V) satisfies a substitution property along points; moreover, when V is non-singular, it satisfies also a substitution property along Puiseux arcs, which characterizes R 0 (V).

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Goulwen Fichou, Jean-Philippe Monnier, Ronan Quarez. 2018-06-28. Substitution Property for the Ring of Continuous Rational Functions. https://arxiv.org/abs/1806.11004

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