3 papers
math.AT2020
Goodwillie Towers of -Categories and Desuspension
Daniel Fuentes-Keuthan
We reconceptualize the process of forming -excisive approximations to -categories, in the sense of Heuts, as inverting the suspension functor lifted to -cogroup obj…
math.AT2019
Modelling Connective Spectra via Multicategories
Daniel Fuentes-Keuthan
We put a model structure on a full subcategory of based multicategories in which the weak equivalences are created by the K-theory functor of Elmendorf-Mandell, providing a model c…
math.AT2018
A model structure on prederivators for -categories
Daniel Fuentes-Keuthan, Magdalena Kedziorek, Martina Rovelli
By theorems of Carlson and Renaudin, the theory of -categories embeds in that of prederivators. The purpose of this paper is to give a two-fold answer to the inverse pr…