Short proofs of Tverberg-type theorems for cell complexes
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912801035911168 |
|---|---|
| author | Karasev, Roman Skopenkov, Arkadiy |
| author_facet | Karasev, Roman Skopenkov, Arkadiy |
| contents | We present short proofs of Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power $r$, any complex $X$ topologically homeomorphic to $S^{(d+1)(r-1)-1}$, and any continuous map $f:X\to\mathbb R^d$ there are pairwise disjoint faces $σ_1,\ldots,σ_r$ of $X$ such that $f(σ_1)\cap\ldots f(σ_r)\ne\emptyset$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Short proofs of Tverberg-type theorems for cell complexes Karasev, Roman Skopenkov, Arkadiy Geometric Topology Combinatorics Metric Geometry 52B70, 57Q35, 55T10 We present short proofs of Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power $r$, any complex $X$ topologically homeomorphic to $S^{(d+1)(r-1)-1}$, and any continuous map $f:X\to\mathbb R^d$ there are pairwise disjoint faces $σ_1,\ldots,σ_r$ of $X$ such that $f(σ_1)\cap\ldots f(σ_r)\ne\emptyset$. |
| title | Short proofs of Tverberg-type theorems for cell complexes |
| topic | Geometric Topology Combinatorics Metric Geometry 52B70, 57Q35, 55T10 |
| url | https://arxiv.org/abs/2405.05629 |