5 citations · 11 across the 12 of their papers we have counts for
7 papers · 1 filter
Realizing compatible pairs of transfer systems by combinatorial -operads
David Chan, Myungsin Cho, David Mehrle +4
We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and $…
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…
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…
Real K-theory for Waldhausen infinity categories with genuine duality
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We develop a new framework to study real -theory in the context of -categories. For this, we introduce Waldhausen -categories with genuine duality, which will be…