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Journal Articles Proceedings of FJV2017 Kagoshima Year : 2019

SUBSTITUTION PROPERTY FOR THE RING OF CONTINUOUS RATIONAL FUNCTIONS

Goulwen Fichou
Ronan Quarez

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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hal-01825452 , version 1 (28-06-2018)

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Goulwen Fichou, Jean-Philippe Monnier, Ronan Quarez. SUBSTITUTION PROPERTY FOR THE RING OF CONTINUOUS RATIONAL FUNCTIONS. Proceedings of FJV2017 Kagoshima, inPress. ⟨hal-01825452⟩
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