Injective Labeled Oriented Trees are Aspherical
Geometric Topology
2016-11-07 v6
Abstract
A labeled oriented tree is called injective if each generator occurs at most once as an edge label. We show that injective labeled oriented trees are aspherical. The proof relies on a new relative asphericity test based on a lemma of Stallings.
Keywords
Cite
@article{arxiv.1212.1943,
title = {Injective Labeled Oriented Trees are Aspherical},
author = {Jens Harlander and Stephan Rosebrock},
journal= {arXiv preprint arXiv:1212.1943},
year = {2016}
}
Comments
25 pages, 9 figures