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Topological manifolds are locally-flat Euclidean neighbourhood retracts

Published 10 May 2022 in math.GT | (2205.05179v1)

Abstract: We show that every topological n-manifold M admits a locally flat closed embedding $\iota\colon M \hookrightarrow \mathbb{R}{2n+1}$ and is a retract of some neighbourhood $U \subseteq \mathbb{R}{2n+1}$

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