Lax extensions of SET-functors to bicategories of (enriched) relations are a well-established tool in various parts of mathematics: they are fundamental in our work on "monoidal topology", 
but also generic notions of bisimulation for coalgebras rely on identity-preserving (=normal) lax extensions. In this talk we characterise functors admiting a normal lax extension, discuss uniqueness of normal lax extensions, and provide a "a point-free perspective on the connection between lax extensions and predicate liftings".

This talk is based on joint work with Sergey Goncharov, Pedro Nora, Lutz Schröder and Paul Wild (Friedrich-Alexander-Universität Erlangen-Nürnberg).