model category, model $\infty$-category
Definitions
Morphisms
Universal constructions
Refinements
Producing new model structures
Presentation of $(\infty,1)$-categories
Model structures
for $\infty$-groupoids
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
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
A model structure on spectra for S-modules.
The category of S-modules (EKMM 97) is a presentation of the symmetric monoidal (∞,1)-category of spectra, with the special property that it implements the smash product of spectra such as to yield itself a symmetric monoidal model category of spectra: the model structure on symmetric spectra. This implies in particular that with respect to this symmetric smash product of spectra an E-∞ ring is presented simply as a plain commutative monoid in S-modules.
There is a Quillen equivalence to the model structure on symmetric spectra (Schwede 01).
Comparison to the model structure on orthogonal spectra is due to (Mandell 04).
with symmetric monoidal smash product of spectra
S-module, model structure on S-modules
The construction originates in
Review includes
Comparison to the model structure on symmetric spectra is due to
Comparison to the model structure on orthogonal spectra is due to
Last revised on March 10, 2019 at 18:40:14. See the history of this page for a list of all contributions to it.