8 citations · 10 across the 11 of their papers we have counts for
14 papers
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{…
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…
Completions and Terminal Monads
Emmanuel Dror Farjoun, Sergei O. Ivanov
We consider the terminal monad among those preserving the objects of a subcategory, and in particular preserving the image of a monad. Several common monads are shown to be uniquel…
On the third homotopy group of Orr's space
Emmanuel D. Farjoun, Roman Mikhailov
K. Orr defined a Milnor-type invariant of links that lies in the third homotopy group of a certain space The problem of non-triviality of this third homotopy group has been…
Crossed modules as maps between connected components of topological groups
Emmanuel D. Farjoun, Yoav Segev
The purpose of this note is to observe that a homomorphism of discrete groups arises as the induced map on path components of so…
Relative Schur multipliers and universal extensions of group homomorphisms
Emmanuel D. Farjoun, Yoav Segev
In this note, starting with any group homomorphism , which is surjective upon abelianization, we construct a universal central extension $u\colon U\twoheadrightarrow…