nLab Zach Goldthorpe

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Selected writings

An (∞,1)-category of (∞,∞)-categories in terms of inductively and coinductively defined equivalences:

• Zach Goldthorpe, Homotopy theories of $(\infty,\infty)$-categories as universal fixed points with respect to enrichment, International Mathematics Research Notices 2023 22 (2023) 19592–19640 [arXiv:2307.00442, doi:10.1093/imrn/rnad196]

A functorial presentation of the $(\infty,1)$-category of sheaves of $(n,r)$-categories for all $-2\leq n\leq \infty$ and $0 \leq r \leq n+2$ (cf. (∞,∞)-categories):

• Zach Goldthorpe, Sheaves of $(\infty,\infty)$-categories [arXiv:2403.069262]

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