2 papers
math.AT2025
Bousfield-Kan completion as a codensity -monad
Emmanuel Dror Farjoun, Sergei O. Ivanov
Working in the setting of -categories, we develop a general theory of the codensity monad associated with a full subcategory $\mathcal{D}\subseteq \mathcal{…
math.CT2024
A Note on the Non-Existence of Functors
Emmanuel Dror Farjoun, Sergei O. Ivanov, Aleksandr Krasilnikov +1
We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vec…