# nLab Spectrum

Contents

### Context

#### Stable Homotopy theory

stable homotopy theory

Introduction

# Contents

## Idea

$Spectrum$ is the stable (infinity,1)-category of spectra. It is also denoted $Sp$, or sometimes $Spec$ although that can be confusing.

It is the free stable locally presentable (infinity,1)-category on one compact generator, namely the sphere spectrum.

$Sp$ is the stable (infinity,1)-category of quasicoherent infinity-stacks on Spec(S).

category: category

Last revised on September 16, 2018 at 04:27:12. See the history of this page for a list of all contributions to it.