Linking topological spheres
classification
🧮 math.GT
keywords
mathbbiotatopologicalembeddinglinkedlinkingsetminussphere
read the original abstract
There is a topological embedding $\iota:\mathbb{S}^1\to\mathbb{R}^5$ such that $\pi_3(\mathbb{R}^5\setminus\iota(\mathbb{S}^1))=0$. Therefore, no $3$-sphere can be linked with $\iota(\mathbb{S}^1)$.
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