Zach Goldthorpe

collaborators

3 papers

math.CT2024

A note on Noetherian $(\infty, \infty)$ -categories

Zach Goldthorpe

The purpose of this note is to resolve a conjecture in arXiv:2307.00442(4), regarding the initial algebra for the enrichment endofunctor $(-) Cat$ over general symmetric mo…

math.CT2024

Sheaves of $(\infty, \infty)$ -categories

Zach Goldthorpe

We provide a functorial presentation of the $(\infty, 1)$ -category of sheaves of $(n, r)$ -categories for all $- 2 \leq n \leq \infty$ and $0 \leq r \leq n + 2$ based on complete Segal sp…

math.CT2023

Homotopy theories of $(\infty, \infty)$ -categories as universal fixed points with respect to enrichment

Zach Goldthorpe

We show that both the $\infty$ -category of $(\infty, \infty)$ -categories with inductively defined equivalences, and with coinductively defined equivalences, satisfy universal prope…

A note on Noetherian (∞,∞)-categories

Sheaves of (∞,∞)-categories

Homotopy theories of (∞,∞)-categories as universal fixed points with respect to enrichment

A note on Noetherian $(\infty, \infty)$ -categories

Sheaves of $(\infty, \infty)$ -categories

Homotopy theories of $(\infty, \infty)$ -categories as universal fixed points with respect to enrichment