56 citations · 236 across the 22 of their papers we have counts for
4 papers · 1 filter
Operads, tensor products, and the categorical Borel construction
Nick Gurski
We show that every action operad gives rise to a notion of monoidal category via the categorical version of the Borel construction, embedding action operads into the category of 2-…
The Gray tensor product via factorisation
John Bourke, Nick Gurski
We discuss the folklore construction of the Gray tensor product of 2-categories as obtained by factoring the map from the funny tensor product to the cartesian product. We show tha…
Extending homotopy theories across adjunctions
Nick Gurski, Niles Johnson, Angélica M. Osorno
Constructions of spectra from symmetric monoidal categories are typically functorial with respect to strict structure-preserving maps, but often the maps of interest are merely lax…
K-theory for 2-categories
Nick Gurski, Niles Johnson, Angélica M. Osorno
We establish an equivalence of homotopy theories between symmetric monoidal bicategories and connective spectra. For this, we develop the theory of -objects in 2-categories. In…