My problem is to understand why the set $\lbrace z\in \mathbb{H} :Im(z)>c\rbrace$ $\cup \lbrace i\infty \rbrace$ is a fundamental neighborhood for $i\infty$ , where $\mathbb{H}$ is the upper half plane . Is it because a point in this set is greater than any natural number c ?
2026-03-27 18:09:22.1774634962
fundamental neighborhood of $i\infty$
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