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SUBSTITUTION PROPERTY FOR THE RING OF CONTINUOUS RATIONAL FUNCTIONS

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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https://hal.archives-ouvertes.fr/hal-01825452
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Submitted on : Thursday, June 28, 2018 - 12:06:08 PM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM
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  • HAL Id : hal-01825452, version 1
  • ARXIV : 1806.11004

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

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