Let $M$ be an $n$-dimensional compact connected orientable smooth manifold. Can we always find a diffeomorphism $$M\setminus S_1\cong\mathbb{R}^n\setminus S_2$$ where $S_1\subset M$ and $S_2\subset\mathbb{R}^n$ are subsets of measure zero?
2026-03-29 16:47:50.1774802870
Are manifolds almost diffeomorphic to $\mathbb{R}^n$?
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