Crosslinked pressure-sensitive adhesives (PSAs) based on polymers of branched macromolecules each comprising a main chain and one or more sidechains pendent to the main chain, the constitutional units thereof originating from a) X wt % of one or more acrylic and/or methacrylic esters, with 80 =1000 g/mol, and the respective amounts of constitutional units originating from a), b) and c) can be the same in each case or differ by not more than 1%, and where a), b) and c) may in each case be the same or different monomers, have detachment properties which can be set independently of one another.