#
nLab
model structure on presheaves of spectra

Contents
### Context

#### Model category theory

**model category**, model $\infty$-category

**Definitions**

**Morphisms**

**Universal constructions**

**Refinements**

**Producing new model structures**

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

**Model structures**

*for $\infty$-groupoids*

for ∞-groupoids

*for equivariant $\infty$-groupoids*

*for rational $\infty$-groupoids*

*for rational equivariant $\infty$-groupoids*

*for $n$-groupoids*

*for $\infty$-groups*

*for $\infty$-algebras*

*general $\infty$-algebras*

*specific $\infty$-algebras*

*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

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

Last revised on March 31, 2023 at 15:49:45.
See the history of this page for a list of all contributions to it.