#
nLab

model structure on presheaves of spectra

Contents
### 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 (DOI)

Last revised on November 9, 2015 at 04:28:56.
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