Intrinsic linking of a simplicial $n$-complex embedded in $\mathbb{R}^{2n}$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908887216553984 |
|---|---|
| author | Nikkuni, Ryo |
| author_facet | Nikkuni, Ryo |
| contents | We demonstrate the existence of minimal simplicial $n$-complexes which inevitably contain a nonsplittable two-component link formed by an $(n-1)$-sphere and an $n$-sphere in any embedding into $\mathbb{R}^{2n}$. This provides a higher-dimensional generalization of graphs that are not non-separating planar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19511 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Intrinsic linking of a simplicial $n$-complex embedded in $\mathbb{R}^{2n}$ Nikkuni, Ryo Geometric Topology Combinatorics 57K45, 57M15 We demonstrate the existence of minimal simplicial $n$-complexes which inevitably contain a nonsplittable two-component link formed by an $(n-1)$-sphere and an $n$-sphere in any embedding into $\mathbb{R}^{2n}$. This provides a higher-dimensional generalization of graphs that are not non-separating planar. |
| title | Intrinsic linking of a simplicial $n$-complex embedded in $\mathbb{R}^{2n}$ |
| topic | Geometric Topology Combinatorics 57K45, 57M15 |
| url | https://arxiv.org/abs/2602.19511 |