# nLab sphere spectrum

### Context

#### Stable Homotopy theory

stable homotopy theory

# Contents

## Idea

The sphere spectrum is the simplest nontrivial spectrum.

## Definition

The sphere spectrum is the suspension spectrum of the point.

## Properties

The sphere spectrum is naturally an E-∞ ring and in fact is the initial object in the (∞,1)-category of ring spectra. It is the higher version of the ring $ℤ$ of integers.

Revised on November 3, 2012 18:51:29 by Stephan Alexander Spahn (79.227.144.230)