nLab model structure on presheaves of spectra

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Contents

Context

Model category theory

model category, model ∞ \infty -category

Definitions

Morphisms

Universal constructions

Refinements

Producing new model structures

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

Model structures

for ∞\infty-groupoids

for ∞-groupoids

for equivariant ∞\infty-groupoids

for rational ∞\infty-groupoids

for rational equivariant ∞\infty-groupoids

for nn-groupoids

for ∞\infty-groups

for ∞\infty-algebras

general ∞\infty-algebras

specific ∞\infty-algebras

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

  • 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.

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