nLab spectral sequence of a simplicial stable homotopy type

Contents

Context

Homological algebra

homological algebra

Introduction

diagram chasing

Contents

Idea

For $\mathcal{C}$ a stable (∞,1)-category and $X_\bullet$ a simplicial object in an (∞,1)-category in $\mathcal{C}$, then the simplicial skeleta of $X$ give it the structure of a filtered object in an (∞,1)-category. The corresponding spectral sequence of a filtered stable homotopy type has as its first page the Moore complexes of the corresponding simplicial objects of homotopy groups.

References

The general theory is developed in

Quick review is in

Last revised on February 1, 2016 at 16:42:24. See the history of this page for a list of all contributions to it.