%0 Journal Article %T On connected components of some globally semi-analytic sets %A Abdelhafed Elkhadiri %J Mathematics %D 2012 %I arXiv %X We isolate a class, say $\mathcal{A}$, of global real analytic functions such that, each global semi-analytic set defined by $\mathcal{A}$ has only finitely many connected components and each component is also a global semi-analytic set defined by $\mathcal{A}$. %U http://arxiv.org/abs/1209.3981v1