Publication date:
7 September 2017
Source:Advances in Mathematics, Volume 317
Author(s): Dominic Descombes, Maël Pavón
We prove an explicit characterization of all injective subsets of the model space $l_{\infty }(I)$ of all bounded real-valued functions defined on a non-empty set I, endowed with the supremum norm. Since the class of all injective metric spaces coincides with the one of all absolute 1-Lipschitz retracts, the present work yields a characterization of all the subsets of $l_{\infty }(I)$ that are absolute 1-Lipschitz retracts.