%0 Journal Article %A Hoang Kim Nguyen %A George Raptis %A Christoph Schrade %T Higher weak (co)limits, adjoint functor theorems, and higher Brown representability %J Documenta mathematica %D 2022 %P 1369-1420 %V 27 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/900/ %R 10.4171/dm/900 %F 10_4171_dm_900