nLab (∞,Z)-category

Idea

An $(\infty,\mathbb{Z})$-category extends the concept of a (∞,∞)-category to allow cells in all positive and negative dimensions.

For more see at categorical spectrum.

Related entries

• combinatorial spectrum

• categorical spectrum

References

• Paul Lessard: Spectra as Locally Finite $\mathbb{Z}$-Groupoids (2019) [video:YT]

• Paul Lessard: $\mathbf{Z}$-Categories I [arXiv:2206.00849]

• David Kern: Categorical spectra as pointed $(\infty,\mathbb{Z})$-categories [arXiv:2410.02578]