Injective Labeled Oriented Trees are Aspherical

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Harlander, Jens; Rosebrock, Stephan;
  • 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.
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