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The low-dimensional structures formed by tricategories
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2009 (English)In: Mathematical proceedings of the Cambridge Philosophical Society (Print), ISSN 0305-0041, E-ISSN 1469-8064, Vol. 146, 551-589 p.Article in journal (Refereed) Published
Abstract [en]

We form tricategories and the homomorphisms between them into a bicategory, whose 2-cells are certain degenerate tritransformations. We then enrich this bicategory into an example of a three-dimensional structure called a locally cubical bicategory, this being a bicategory enriched in the monoidal 2-category of pseudo double categories. Finally, we show that every sufficiently well-behaved locally cubical bicategory gives rise to a tricategory, and thereby deduce the existence of a tricategory of tricategories.

Place, publisher, year, edition, pages
2009. Vol. 146, 551-589 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-129052DOI: 10.1017/S0305004108002132ISI: 000266071000005OAI: oai:DiVA.org:uu-129052DiVA: diva2:337506
Available from: 2010-08-06 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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