Year: 2026
Type: preprint
Abstract: In previous work, we constructed a closed skew monoidal structure on the category of Gray-categories and Gray-functors whose internal hom Psd(A, B) captures pseudomaps and pseudo-transformations. In the present paper we give a symmetric description of the Gray-category Psd(A,B) and use this to prove that the skew monoidal structure is symmetric skew monoidal.
Source: arXiv (Cornell University)
Authors: Bourke, John, Lobbia, Gabriele
Institutions: Masaryk University, University of Milan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223387252