David Kern

collaborators

2 papers

math.CT2024

Categorical spectra as pointed $(\infty, Z)$ -categories

David Kern

Lessard's $Z$ -categories are an analogue of $ω$ -categories possessing cells in all positive and negative dimensions. Categorical spectra, developed by Stefanich, are an an…

math.CT2024

All Segal objects are generalised monads in spans

David Kern

We extend Barwick's and Haugseng's construction of the double $\infty$ -category of spans in a pullback-complete $\infty$ -category $C$ to more general shapes: for a large…

Categorical spectra as pointed (∞,Z)-categories

All Segal objects are generalised monads in spans

Categorical spectra as pointed $(\infty, Z)$ -categories