Two-component or multicomponent system which cures by means of a redox initiator system and has a controllable pot life and comprises A) 0.8-69.94% by weight of an emulsion polymer which can be obtained by polymerization of a mixture; B) 30-99.14% by weight of one or more ethylenically unsaturated monomers; C) 0.05-10% by weight of peroxides; and if appropriate further constituents; characterized in that the component A) and the component C) are stored together and at least one constituent of the component B) is stored together from the components A) and C), with the separately stored constituent of the component B) being selected so that the ability of this constituent of the component B) to swell the polymer A) is sufficiently high for the polymer-fixed activator e) of the polymer A) to be able to react with the component C).