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

Autor:	Blufstein, Martin Axel, Minian, Elias Gabriel
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology 20F65 20F05 20F67 57M07 57K20
Druh dokumentu:	Working Paper
Popis:	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. Comment: 5 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.00260 Zobrazit plný text záznamu View this record from Arxiv