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arXiv · 2205.05179

Topological manifolds are locally-flat Euclidean neighbourhood retracts

Raphael Floris
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Abstract

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

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Raphael Floris. 2022-05-10. Topological manifolds are locally-flat Euclidean neighbourhood retracts. https://arxiv.org/abs/2205.05179

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