A remark on $\varepsilon$-maps in dimension 1

Autor:	Phan, T. Tam Nguyen
Rok vydání:	2019
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	Let $f\colon \mathbb{S}^1\rightarrow G$ be a surjective map from the standard unit circle to a graph $G$ such that the pre-image of each point has diameter less than $\varepsilon$. If $\varepsilon$ is small enough, does $f$ split as a free factor in $\pi_1(G)$? Comment: 4 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.12063 Zobrazit plný text záznamu View this record from Arxiv