Relative vertex asphericity

Jens Harlander, Stephan Rosebrock

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Diagrammatic reducibility DR and its generalization, vertex asphericity VA, are combinatorial tools developed for detecting asphericity of a 2-complex. Here we present tests for a relative version of VA that apply to pairs of 2-complexes, where K is a subcomplex of L. We show that a relative weight test holds for injective labeled oriented trees, implying that they are VA and hence aspherical. This strengthens a result obtained by the authors in 2017 and simplifies the original proof.

Original languageEnglish
Pages (from-to)292-305
Number of pages14
JournalCanadian Mathematical Bulletin
Volume64
Issue number2
DOIs
StatePublished - Jun 2021

Keywords

  • AMS subject classification 57M20 20F05 20F06 20F65

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