In the post Uniform Convergence and Poles the authors use the notation $N_0(\omega,r)$. I do not know what it means, so I can not take advantage of the presented answers. Can anyone tell me what the notation means?
Thanks in advance
2026-05-06 03:10:22.1778037022
What means the notation $N_0(\omega,r)$
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It means $N_0(w,r) = \{z\in \mathbb{C} : |z-w|<r , z\ne w \}$ which is equal to the open ball without it is center.