nLab
model structure on spectra

Context

Model category theory

model category

Definitions

Morphisms

Universal constructions

Refinements

Producing new model structures

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

Model structures

for \infty-groupoids

for ∞-groupoids

for nn-groupoids

for \infty-groups

for \infty-algebras

general

specific

for stable/spectrum objects

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

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

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

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

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

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)