Fundamental groups of 2-complexes with nonpositive planar sectional curvature
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929202159157248 |
|---|---|
| author | Drakengren, Lycka |
| author_facet | Drakengren, Lycka |
| contents | We show that the finite simply connected 2-complexes of nonpositive planar sectional curvature are collapsible. Moreover, we show that each finite connected 2-complex with negative planar sectional curvature and fundamental group $\mathbb{Z}$ can be collapsed to a 1-dimensional cycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fundamental groups of 2-complexes with nonpositive planar sectional curvature Drakengren, Lycka Group Theory Geometric Topology 20F65, 57M20, 57M05 We show that the finite simply connected 2-complexes of nonpositive planar sectional curvature are collapsible. Moreover, we show that each finite connected 2-complex with negative planar sectional curvature and fundamental group $\mathbb{Z}$ can be collapsed to a 1-dimensional cycle. |
| title | Fundamental groups of 2-complexes with nonpositive planar sectional curvature |
| topic | Group Theory Geometric Topology 20F65, 57M20, 57M05 |
| url | https://arxiv.org/abs/2401.03520 |