Zigzags and free adjunctions

We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an ∞-category, and we speculate on possible extensions to higher dimensions. AMS subject classification: 18N65.

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Publication Details

Journal
Canadian Journal of Mathematics
Published
2026-11-06
DOI
https://doi.org/10.4153/s0008414x26102612
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Zigzags and free adjunctions

Lorenzo Riva, Martina Rovelli
Canadian Journal of Mathematics
Homotopy and Cohomology in Algebraic Topology
article

Zigzags and free adjunctions

Lorenzo Riva, Martina Rovelli
article en

Abstract

We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an ∞-category, and we speculate on possible extensions to higher dimensions. AMS subject classification: 18N65.

Canadian Journal of Mathematics
Openalex Percentile: Top 95%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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Zigzags and free adjunctions — Lorenzo Riva, Martina Rovelli · Canadian Journal of Mathematics (2026) | TGRS Research Map | TGRS