Spectral Sequences in (∞,1)-categories

/ Authors

/ Abstract

We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an $\infty$-category, with an emphasis on how to construct the differentials in a model-invariant manner.

Journal: Journal of Pure and Applied Algebra

DOI: 10.1016/j.jpaa.2021.106905

Spectral Sequences in (∞,1)-categories

/ Authors

D. Blanc, Nicholas J. Meadows

/ Abstract

We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an $\infty$-category, with an emphasis on how to construct the differentials in a model-invariant manner.

Journal: Journal of Pure and Applied Algebra

DOI: 10.1016/j.jpaa.2021.106905