Fundamental groups of 2-complexes with nonpositive planar sectional curvature
Group Theory
2024-01-09 v1 Geometric Topology
Abstract
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 can be collapsed to a 1-dimensional cycle.
Keywords
Cite
@article{arxiv.2401.03520,
title = {Fundamental groups of 2-complexes with nonpositive planar sectional curvature},
author = {Lycka Drakengren},
journal= {arXiv preprint arXiv:2401.03520},
year = {2024}
}
Comments
10 pages, 1 figure