publication . Preprint . Article . 2012

Injective Labeled Oriented Trees are Aspherical

Jens Harlander; Stephan Rosebrock;
Open Access English
  • Published: 09 Dec 2012
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.
Subjects
free text keywords: Mathematics - Geometric Topology, 57M, 20F, General Mathematics, Vertex (geometry), Injective function, Wirtinger presentation, Topology, Lemma (mathematics), Mathematics, Combinatorics

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publication . Preprint . Article . 2012

Injective Labeled Oriented Trees are Aspherical

Jens Harlander; Stephan Rosebrock;