Consider a nested sequence $O_1$, $O_2$, $\dots , O_k, \dots $ of open sets in $\mathbb{Q}_p^n$ such that $O_i \setminus O_{i+1}$ has empty interior. Under which conditions do we have $\bigcap_k O_k$ open and such that $O_i \setminus \bigcap_k O_k$ has empty interior?
2026-04-03 08:43:08.1775205788
Intersection of nested open sets
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