English

Semi-algebraic geometry with rational continuous functions

Algebraic Geometry 2017-12-21 v3

Abstract

Let X be an affine real algebraic set . We investigate on the theory of algebraically constructible functions on X and the description of the semi-algebraic subsets of X when we replace the polynomial functions on X by some rational continuous functions on X.

Keywords

Cite

@article{arxiv.1603.04193,
  title  = {Semi-algebraic geometry with rational continuous functions},
  author = {Jean-Philippe Monnier},
  journal= {arXiv preprint arXiv:1603.04193},
  year   = {2017}
}
R2 v1 2026-06-22T13:10:05.078Z