An aqueous polymer composition comprising in dispersed form A at least one polyurethane (meth)acrylate constructed from the following structural components: A1 an isocyanate A1 component comprising: A1a at least one polyisocyanate obtainable by oligomerization of at least one diisocyanate and having an average isocyanate functionality of at least 2.5, the diisocyanate having at least one saturated alicyclic structural unit; and A1b at least one diisocyanate selected from saturated aliphatic and saturated alicyclic diisocyanates; A2 as component A2, at least one compound which has at least one ethylenically unsaturated double bond in the form of an acrylic or methacrylic group, and also has at least one functional group F which reacts with an isocyanate group to form a covalent bond; A3 at least one neutral polyol component A3 comprising A3a at least one aliphatic, polymeric polyol having an average OH functionality in the range from 1.5 to 2.5; A3b at least one low molecular weight diol compound having a molecular weight of not more than 400 g/mol and selected from saturated aliphatic and saturated alicyclic diols; A4 as component A4, at least one compound which has at least one ionic or ionizable group I' and at least one functional group F' which reacts with an isocyanate group to form a covalent bond; and optionally A5 as component A5, at least one poly-C 2 -C 3 alkylene ether compound having an average OH functionality in the range from 0.9 to 1.2; and B at least one compound B having a molecular weight below 1000 g/mol and having on average more than two ethylenically unsaturated double bonds per molecule, the ethylenically unsaturated double bond being present in the form of acrylic or methacrylic groups, wherein the compound B has a water-solubility of not more than 5 g/L, determined in deionized water at 25 °C and 1 bar. A at least one polyurethane (meth)acrylate constructed from the following structural components: A1 an isocyanate A1 component comprising: A1a at least one polyisocyanate obtainable by oligomerization of at least one diisocyanate and having an average isocyanate functionality of at least 2.5, the diisocyanate having at least one saturated alicyclic structural unit; and A1b at least one diisocyanate selected from saturated aliphatic and saturated alicyclic diisocyanates; A2 as component A2, at least one compound which has at least one ethylenically unsaturated double bond in the form of an acrylic or methacrylic group, and also has at least one functional group F which reacts with an isocyanate group to form a covalent bond; A3 at least one neutral polyol component A3 comprising A3a at least one aliphatic, polymeric polyol having an average OH functionality in the range from 1.5 to 2.5; A3b at least one low molecular weight diol compound having a molecular weight of not more than 400 g/mol and selected from saturated aliphatic and saturated alicyclic diols; A4 as component A4, at least one compound which has at least one ionic or ionizable group I' and at least one functional group F' which reacts with an isocyanate group to form a covalent bond; and optionally A5 as component A5, at least one poly-C 2 -C 3 alkylene ether compound having an average OH functionality in the range from 0.9 to 1.2; and A1 an isocyanate A1 component comprising: A1a at least one polyisocyanate obtainable by oligomerization of at least one diisocyanate and having an average isocyanate functionality of at least 2.5, the diisocyanate having at least one saturated alicyclic structural unit; and A1b at least one diisocyanate selected from saturated aliphatic and saturated alicyclic diisocyanates; A1a at least one polyisocyanate obtainable by oligomerization of at least one diisocyanate and having an average isocyanate functionality of at least 2.5, the diisocyanate having at least one saturated alicyclic structural unit; and A1b at least one diisocyanate selected from saturated aliphatic and saturated alicyclic diisocyanates; A2 as component A2, at least one compound which has at least one ethylenically unsaturated double bond in the form of an acrylic or methacrylic group, and also has at least one functional group F which reacts with an isocyanate group to form a covalent bond; A3 at least one neutral polyol component A3 comprising A3a at least one aliphatic, polymeric polyol having an average OH functionality in the range from 1.5 to 2.5; A3b at least one low molecular weight diol compound having a molecular weight of not more than 400 g/mol and selected from saturated aliphatic and saturated alicyclic diols; A3a at least one aliphatic, polymeric polyol having an average OH functionality in the range from 1.5 to 2.5; A3b at least one low molecular weight diol compound having a molecular weight of not more than 400 g/mol and selected from saturated aliphatic and saturated alicyclic diols; A4 as component A4, at least one compound which has at least one ionic or ionizable group I' and at least one functional group F' which reacts with an isocyanate group to form a covalent bond; and optionally A5 as component A5, at least one poly-C 2 -C 3 alkylene ether compound having an average OH functionality in the range from 0.9 to 1.2; B at least one compound B having a molecular weight below 1000 g/mol and having on average more than two ethylenically unsaturated double bonds per molecule, the ethylenically unsaturated double bond being present in the form of acrylic or methacrylic groups, wherein the compound B has a water-solubility of not more than 5 g/L, determined in deionized water at 25 °C and 1 bar.