Injective Labeled Oriented Trees are AsphericalPreprint English OPEN
Harlander, Jens; Rosebrock, Stephan; (2012)
Subject: 57M, 20F | Mathematics - Geometric Topology
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.