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arXiv · 1209.3981

On connected components of some globally semi-analytic sets

Abdelhafed Elkhadiri
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Abstract

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 $\mathcal{A}$.

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Abdelhafed Elkhadiri. 2012-09-18. On connected components of some globally semi-analytic sets. https://arxiv.org/abs/1209.3981

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