5 citations · 14 across the 18 of their papers we have counts for
8 papers · 1 filter
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…
Double categorical equivalences
Lyne Moser, Maru Sarazola, Paula Verdugo
We present an efficient and user-friendly method for constructing any cofibrantly generated model structure on the category of double categories whose trivial fibrations are the "c…
A concise proof of the stable model structure on symmetric spectra
Cary Malkiewich, Maru Sarazola
It is well-known that the stable model structure on symmetric spectra cannot be transferred from the one on sequential spectra through the forgetful functor. We use the fibrant tra…
Equivariant Trees and Partition Complexes
Julia E. Bergner, Peter Bonventre, Maxine E. Calle +2
We introduce two definitions of -equivariant partitions of a finite -set, both of which yield -equivariant partition complexes. By considering suitable notions of equivari…
Fibrantly-transferred model structures
Léonard Guetta, Lyne Moser, Maru Sarazola +1
We develop new techniques for constructing model structures from a given class of cofibrations, together with a class of fibrant objects and a choice of weak equivalences between t…
A model structure for weakly horizontally invariant double categories
Lyne Moser, Maru Sarazola, Paula Verdugo
We construct a model structure on the category of double categories and double functors, whose trivial fibrations are the double functors that are surjective on o…
A 2Cat-inspired model structure for double categories
Lyne Moser, Maru Sarazola, Paula Verdugo
We construct a model structure on the category of double categories and double functors. Unlike previous model structures for double categories, it recovers the h…
Stable homotopy hypothesis in the Tamsamani model
Lyne Moser, Viktoriya Ozornova, Simona Paoli +2
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories mod…