4 papers
A new model structure on dendroidal spaces for the theory of -operads
João Candeias, Javier J. Gutiérrez
We introduce a new model structure on the category of dendroidal spaces, designed to provide a further model for the homotopy theory of -operads. This model is directly ana…
Sketchable infinity categories
Carles Casacuberta, Javier J. Gutiérrez, David Martínez-Carpena
A sketch is a category equipped with specified collections of cones and cocones. Its models are functors to the category of sets that send the distinguished cones and cocones to li…
Homotopy reflectivity is equivalent to the weak Vopěnka principle
Carles Casacuberta, Javier J. Gutiérrez
Homotopical localizations with respect to (possibly proper) classes of maps are known to exist assuming the validity of a large-cardinal axiom from set theory called Vopěnka's prin…
Cloning systems and action operads
Javier Aramayona, Federico Cantero Morán, Víctor Carmona +1
Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky.…