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arXiv · 2306.00260

A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature

Martin Axel Blufstein·Elias Gabriel Minian
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Abstract

We prove that the $2$-complex associated to the presentation $\langle a,b \mid b,bab^{-1}a^{-2}\rangle$ has contracting non-positive immersions and positive maximal irreducible curvature. This example shows that the contracting non-positive immersions property is not equivalent to the notion of non-positive irreducible curvature, answering a question raised by H. Wilton.

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Martin Axel Blufstein, Elias Gabriel Minian. 2023-06-01. A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature. https://arxiv.org/abs/2306.00260

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