On the embeddability of skeleta of manifold triangulations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914116766007296 |
|---|---|
| author | Kishimoto, Daisuke Matsushita, Takahiro |
| author_facet | Kishimoto, Daisuke Matsushita, Takahiro |
| contents | We show a criterion for a skeleton of a manifold triangulation being embeddable into Euclidean space in terms of the complement of a submanifold. As an application, we obtain embeddability of a $(q-1)$-skeleton of a triangulation of an $S^p$-bundle over $S^q$ into $\mathbb{R}^{p+q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17523 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the embeddability of skeleta of manifold triangulations Kishimoto, Daisuke Matsushita, Takahiro Geometric Topology Algebraic Topology Combinatorics We show a criterion for a skeleton of a manifold triangulation being embeddable into Euclidean space in terms of the complement of a submanifold. As an application, we obtain embeddability of a $(q-1)$-skeleton of a triangulation of an $S^p$-bundle over $S^q$ into $\mathbb{R}^{p+q}$. |
| title | On the embeddability of skeleta of manifold triangulations |
| topic | Geometric Topology Algebraic Topology Combinatorics |
| url | https://arxiv.org/abs/2410.17523 |