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.CT2023

Monoidal envelopes and Grothendieck construction for dendroidal Segal objects

David Kern

We propose a construction of the monoidal envelope of $\infty$ -operads in the model of Segal dendroidal spaces, and use it to define cocartesian fibrations of such. We achieve this…

Categorical spectra as pointed (∞,Z)-categories

Monoidal envelopes and Grothendieck construction for dendroidal Segal objects

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