Process for thickening a composition, through the use of a direct emulsion in water, which is alkali-swellable, of a polymer of the ASE or HASE type, which is both rich in acrylic acid and which has a certain quantity of AMPS. The use of such emulsions simultaneously allows there to be no obligation to use surfactants and organic solvents other than water, and allows the thickening phenomenon to be activated for pHs of less than 7: this latter characteristic is particularly advantageous for formulations intended to he used in contact with skin.
