Substitution Property for the Ring of Continuous Rational Functions
Algebraic Geometry
2018-06-29 v1 Commutative Algebra
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).
Keywords
Cite
@article{arxiv.1806.11004,
title = {Substitution Property for the Ring of Continuous Rational Functions},
author = {Goulwen Fichou and Jean-Philippe Monnier and Ronan Quarez},
journal= {arXiv preprint arXiv:1806.11004},
year = {2018}
}