# Talk:Free regular set

In the page fundamental domain, we can read that the fundamental domain is the union of ${\displaystyle U=\Omega (\Gamma )=\left\{z\in H:\left|z\right|>1,\,\left|\,{\mbox{Re}}(z)\,\right|<{\frac {1}{2}}\right\}}$ with ${\displaystyle \left\{z\in H:\left|z\right|\geq 1,\,{\mbox{Re}}(z)={\frac {-1}{2}}\right\}\cup \left\{z\in H:\left|z\right|=1,\,{\mbox{Re}}(z)<0\right\}}$. So ${\displaystyle \Omega (\Gamma )}$ should be the fundamental domain without its boundaries, and not the fundamental domain itself. Can anybody confirm that?