# nLab model structure on spectra

model category

## Model structures

for ∞-groupoids

### for $(\infty,1)$-sheaves / $\infty$-stacks

#### Stable homotopy theory

stable homotopy theory

# Contents

## Idea

A model category structure on a category of spectra presents a stable (∞,1)-category of spectrum objects.

Many such model structures model spectrum objects as symmetric spectra. See there for more details.

Typically and naturally, a model structure on spectra forms a stable model category.

## Examples

Among the model structures with a symmetric monoidal smash product of spectra (“highly structured spectra”) are

## References

A discussion of model structures on spectra in general ambient model categories (general spectrum objects) is in

Revised on November 15, 2013 05:23:12 by Urs Schreiber (82.169.114.243)