No CrossRef data available.
Article contents
A GENERALISATION OF HIGHER-RANK GRAPHS
Published online by Cambridge University Press: 26 July 2021
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20220306090036326-0294:S0004972721000599:S0004972721000599_inline426.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20220306090036326-0294:S0004972721000599:S0004972721000599_inline427.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20220306090036326-0294:S0004972721000599:S0004972721000599_inline428.png?pub-status=live)