David Kern

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math.CT2025

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…

math.CT2024

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

David Kern

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

All Segal objects are generalised monads in spans

Categorical spectra as pointed (∞,Z)-categories

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