English

On connected components of some globally semi-analytic sets

Algebraic Geometry 2012-09-19 v1

Abstract

We isolate a class, say A\mathcal{A}, of global real analytic functions such that, each global semi-analytic set defined by A\mathcal{A} has only finitely many connected components and each component is also a global semi-analytic set defined by A\mathcal{A}.

Cite

@article{arxiv.1209.3981,
  title  = {On connected components of some globally semi-analytic sets},
  author = {Abdelhafed Elkhadiri},
  journal= {arXiv preprint arXiv:1209.3981},
  year   = {2012}
}
R2 v1 2026-06-21T22:07:20.124Z