nLab
model structure on presheaves of 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 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)

Revised on November 9, 2015 04:28:56 by Adeel Khan (132.252.63.76)