model category, model -category
Definitions
Morphisms
Universal constructions
Refinements
Producing new model structures
Presentation of -categories
Model structures
for -groupoids
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
for equivariant -groupoids
for rational -groupoids
for rational equivariant -groupoids
for -groupoids
for -groups
for -algebras
general -algebras
specific -algebras
for stable/spectrum objects
for -categories
for stable -categories
for -operads
for -categories
for -sheaves / -stacks
symmetric monoidal (∞,1)-category of spectra
The model structure for dendroidal (co)Cartesian fibrations is an operadic analog of the model structure for Cartesian fibrations. Its fibrant objects are (co)Cartesian fibrations of dendroidal sets. These in turn model (Grothendieck-)fibrations of (∞,1)-operads.
In particular, over the terminal object, the E-∞ operad, this is a model for the collection symmetric monoidal (∞,1)-categories. Over an arbitrary (∞,1)-operad, this is a model for the (∞,1)-category OMon(∞,1)Cat of O-monoidal (∞,1)-categories?.
For an overview of models for (∞,1)-operads see table - models for (infinity,1)-operads.
The model structure for dendroidal Cartesian fibrations is due to
Its further localization to the model structure for dendroidal left fibrations is discussed in
Last revised on March 7, 2012 at 10:39:14. See the history of this page for a list of all contributions to it.