Nick Gurski ; Niles Johnson - Universal pseudomorphisms, with applications to diagrammatic coherence for braided and symmetric monoidal functors

compositionality:14120 - Compositionality, June 25, 2025, Volume 7 (2025) - https://doi.org/10.46298/compositionality-7-3
Universal pseudomorphisms, with applications to diagrammatic coherence for braided and symmetric monoidal functorsArticle

Authors: Nick Gurski ORCID1; Niles Johnson ORCID2

  • 1 Department of Mathematics, Applied Mathematics, and Statistics, Case Western Reserve University
  • 2 Department of Mathematics, The Ohio State University Newark

This work introduces a general theory of universal pseudomorphisms and develops their connection to diagrammatic coherence. The main results give hypotheses under which pseudomorphism coherence is equivalent to the coherence theory of strict algebras. Applications include diagrammatic coherence for plain, symmetric, and braided monoidal functors. The final sections include a variety of examples.

68 pages

https://doi.org/10.46298/compositionality-7-3
Source: arXiv.org:2312.11261
Volume: Volume 7 (2025)
Published on: June 25, 2025
Imported on: December 19, 2023
Keywords: Category Theory, Quantum Algebra, 18C15 (Primary), 18D20, 18M05, 18M15, 18N15, 19D23 (Secondary)
Licence: arXiv.org - Non-exclusive license to distribute

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