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arXiv · 2401.03520

Fundamental groups of 2-complexes with nonpositive planar sectional curvature

Lycka Drakengren
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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 $\mathbb{Z}$ can be collapsed to a 1-dimensional cycle.

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Lycka Drakengren. 2024-01-07. Fundamental groups of 2-complexes with nonpositive planar sectional curvature. https://arxiv.org/abs/2401.03520

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