#
nLab

model structure on presheaves of spectra

### Context

#### Model category theory

**model category**

## Definitions

## Morphisms

## Universal constructions

## Refinements

## Producing new model structures

## Presentation of $(\infty,1)$-categories

## Model structures

### for $\infty$-groupoids

for ∞-groupoids

### for $n$-groupoids

### for $\infty$-groups

### for $\infty$-algebras

#### general

#### specific

### for stable/spectrum objects

### for $(\infty,1)$-categories

### for stable $(\infty,1)$-categories

### for $(\infty,1)$-operads

### for $(n,r)$-categories

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

#### Stable Homotopy theory

# Contents

## Idea

A model category structure on presheaves of spectra presents the stabilization of the corresponding (∞,1)-category presented by the corresponding model structure on simplicial presheaves.

Over the trivial site it reproduces the model structure on spectra themselves.

## References

- Rick Jardine,
*Stable homotopy theory of simplicial presheaves*, Canad. J. Math. 39(1987), 733-747 (pdf)

Created on July 13, 2012 16:23:50
by

Urs Schreiber
(89.204.130.60)