# nLab Spectrum

homotopy theory

## Theorems

#### 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

Revised on December 16, 2015 05:27:45 by Urs Schreiber (89.15.238.162)