Injective Labeled Oriented Trees are Aspherical

2012/12/10 by Harlander, Jens, Rosebrock, Stephan · 1 citation
#20F #57M #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1212.1943

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.

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