保存先:
| 主要な著者: | , |
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| フォーマット: | Preprint |
| 出版事項: |
2020
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| 主題: | |
| オンライン･アクセス: | https://arxiv.org/abs/2003.12285 |
| タグ: |
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目次:
- We present a short and clear proof of the following particular case of a 2006 result of Melikhov-Schepin: Let $K$ be a $k$-dimensional simplicial complex and $K*[3]$ the union of three cones over $K$ along their common bases. If $2d\ge3k+3$ and $K*[3]$ embeds into $\mathbb R^{d+2}$, then $K$ embeds into $\mathbb R^d$. We also present a generalization of this theorem. The proofs are based on the Haefliger-Weber `configuration spaces' embeddability criterion, equivariant suspension theorem and simple properties of joins and cones.