Abstract: A polymeric compound obtainable by reactingA. a reaction product1. of a dihalogenohydrocarbon and/or dihalogenoalkyl ether and2. of a polyamine which contains primary and/or secondary amino groups and optionally tertiary amino groups, amide groups, urethane and/or urea groups and also ether groups in a molar ratio of 0.1 to 1.8:1 withB. an epihalogenohydrin or a 1,3-dihalogeno-2-hydroxypropanein a molar ratio of 0.2 mole to 5.0 moles of epihalogenohydrin per mole of base nitrogen or component A is used for treating fibre materials which contain hydroxyl or amide groups before or after dyeing or printing.