40 citations · 154 across the 41 of their papers we have counts for
5 papers · 1 filter
Diagrams encoding group actions on -spaces
Julia E. Bergner, Philip Hackney
We introduce, for any group , a category such that diagrams satisfying a Segal condition correspond to infinite loop spaces with a -actio…
Homotopy colimits of model categories
Julia E. Bergner
Building on a previous definition of homotopy limit of model categories, we give a definition of homotopy colimit of model categories. Using the complete Segal space model for homo…
Reedy categories which encode the notion of category actions
Julia E. Bergner, Philip Hackney
We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively,…
Group actions on Segal operads
Julia E. Bergner, Philip Hackney
We give a Quillen equivalence between model structures for simplicial operads, described via the theory of operads, and Segal operads, thought of as certain reduced dendroidal spac…
Comparison of models for -categories, I
Julia E. Bergner, Charles Rezk
While many different models for -categories are currently being used, it is known that they are Quillen equivalent to one another. Several higher-order analogues of the…