10 citations · 13 across the 5 of their papers we have counts for
5 papers
A higher-order Eckmann-Hilton argument
Eugenia Cheng, Alexander S. Corner
We give a higher-order higher-dimensional Eckmann-Hilton argument that is entirely algebraic. First we give an explicit argument showing that if we have two monoidal structures on…
Weak vertical composition II: totalities
Eugenia Cheng, Alexander S. Corner
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, de…
Weak vertical composition
Eugenia Cheng, Alexander S. Corner
We study semi-strict tricategories in which the only weakness is in vertical composition. We construct these as categories enriched in the category of bicategories with strict func…
A Universal Characterisation of Codescent Objects
Alexander S. Corner
In this work we define a 2-dimensional analogue of extranatural transformation and use these to characterise codescent objects. They will be seen as universal objects amongst extra…
Operads with general groups of equivariance, and some 2-categorical aspects of operads in Cat
Alexander S. Corner, Nick Gurski
We give a definition of an operad with general groups of equivariance suitable for use in any symmetric monoidal category with appropriate colimits. We then apply this notion to st…