# nLab connective cover

Contents

### Context

#### Stable Homotopy theory

stable homotopy theory

Introduction

# Contents

## Idea

Connective spectra form a coreflective sub-(∞,1)-category of the (∞,1)-category of spectra. The right adjoint (∞,1)-functor from spectra to connective spectra is called the connective cover construction.

The analogous statement holds true for module spectra and for algebra spectra (Baker-Richter 05, Lurie, prop. 7.1.3.13)

## References

Last revised on July 31, 2018 at 05:49:22. See the history of this page for a list of all contributions to it.