Method for gently aftertreating dyed textiles

A process for aftertreatment of dyed and/or printed textile materials comprising polyester and/or polypropylene fibers comprising treating said materials with an aqueous formulation of at least one anionic and/or nonionic surfactant (A) at a temperature of 20 to 100° C., wherein the aqueous solution further comprises at least one graft copolymer (B), said graft copolymer (B) comprising a straight-chain or branched, hydrophilic main chain comprising nitrogen and/or oxygen atoms and also side chains grafted thereon, and said graft copolymer (B) comprising at least one selected from the group consisting of

• (B1) graft copolymers having a main chain consisting essentially of alkylene oxide units and also side chains consisting essentially of ethylenically unsaturated monomers, the main chain having a number average molecular weight Mn of 300 to 60,000 g/mol, and the main chain consisting of ethylene oxide units to an extent of at least 90 mol %, based on the amount of all alkylene oxide units, and the side chains comprising at least 50 mol % of vinyl acetate units, based on the amount of all monomers of the side chains, and
• (B2) graft copolymers having a main chain consisting essentially of alkyleneimine units and also side chains consisting essentially of polyether units, the main chain having a number average molecular weight Mn of 300 to 10,000 g/mol and the main chain consisting of ethyleneimine units to an extent of at least 90 mol %, based on the amount of all alkyleneimine units, and the side chains comprising polyalkylene oxide groups, the proportion of ethylene oxide and/or of propylene oxide units being at least 90 mol % with regard to the amount of all alkylene oxide units.