A GENERALISATION OF HIGHER-RANK GRAPHS

A GENERALISATION OF HIGHER-RANK GRAPHS

We introduce ‘generalised higher-rank k-graphs’ as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2022-04, Vol.105 (2), p.257-266
Hauptverfasser: LAWSON, MARK V., VDOVINA, ALINA
Format: Artikel
Sprache:eng
Schlagworte:
Graphs
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Zusammenfassung:We introduce ‘generalised higher-rank k-graphs’ as a class of categories equipped with a notion of size. They extend not only higher-rank k-graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalised higher-rank k-graphs can be constructed using Zappa–Szép products of groupoids and higher-rank graphs.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972721000599