Geodesic
Weak vertical composition II: totalities
Theory and applications of categories, Tome 41 (2024), pp. 995-1043.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We continue our study of semi-strict tricategories in which the only weakness is in vertical composition. We assemble the doubly-degenerate such tricategories into a 2-category, defining weak functors and transformations. We exhibit a biadjoint biequivalence between this 2-category and the 2-category of braided (weakly) monoidal categories, braided (weakly) monoidal functors, and monoidal transformations.
Publié le :
Classification : 18D05, 18D10, 18D20
Keywords: tricategory, degenerate, braided monoidal category, enrichment, icon 
@article{TAC_2024_41_a30,
     author = {Eugenia Cheng and Alexander S. Corner},
     title = {Weak vertical composition {II:} totalities},
     journal = {Theory and applications of categories},
     pages = {995--1043},
     publisher = {mathdoc},
     volume = {41},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_41_a30/}
}
TY  - JOUR
AU  - Eugenia Cheng
AU  - Alexander S. Corner
TI  - Weak vertical composition II: totalities
JO  - Theory and applications of categories
PY  - 2024
SP  - 995
EP  - 1043
VL  - 41
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2024_41_a30/
LA  - en
ID  - TAC_2024_41_a30
ER  - 
%0 Journal Article
%A Eugenia Cheng
%A Alexander S. Corner
%T Weak vertical composition II: totalities
%J Theory and applications of categories
%D 2024
%P 995-1043
%V 41
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2024_41_a30/
%G en
%F TAC_2024_41_a30
Eugenia Cheng; Alexander S. Corner. Weak vertical composition II: totalities. Theory and applications of categories, Tome 41 (2024), pp. 995-1043. http://geodesic.mathdoc.fr/item/TAC_2024_41_a30/