40 citations · 154 across the 41 of their papers we have counts for
46 papers
Recognizing CGW categories among pointed stable double Segal spaces
Julia E. Bergner, Brandon T. Shapiro, Inna Zakharevich
In this paper, we establish a precise relationship between CGW categories and pointed stable double Segal spaces, both of which were developed as general input for algebraic K-theo…
A comparison of definitions of equivariant trees
Julia E. Bergner, Maxine E. Calle, David Chan +2
We show that various categories of trees can be modeled by Grothendieck constructions on categories of trees with a fixed set of leaves. We prove this result for the dendroidal cat…
2-Segal sets from cuts of rooted trees
Julia E. Bergner, Olivia Borghi, Pinka Dey +2
The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen -construction in algebraic -theory, Hall algebras, and (co)operad…
Simplicial sets in topology, category theory, and beyond
Julia E. Bergner
The notion of a simplicial set originated in algebraic topology, and has also been utilized extensively in category theory, but until relatively recently was not used outside of th…
Homotopy limits of model categories, revisited
Julia E. Bergner
The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition a…
Combinatorial examples and applications of 2-Segal sets
Julia E. Bergner
We give an introduction to the theory of 2-Segal sets, and two of the main applications of them: Hall algebras and a discrete version of Waldhausen's -construction. We p…