Composition for topical application, in the form of an oil-in-water emulsion comprising an oil-dispersed phase in an aqueous phase, characterized in that it contains (a) one or more non-ionic emulsifiers having a melting point below 45 ° C, selected from the acid esters fatty and polyol, including those containing at least one oxyethylene unit, and mixtures thereof, and (b) one or more non-crosslinked polymers comprising from (A) 80 to 99 mol% of 2-acrylamido 2-methylpropane sulfonic acid unit of formula (I): ** Formula ** in which X + is n proton, an alkali metal cation, an alkaline earth cation or the ammonium ion； and (B) 1 to 20 mol% of unit of formula (II) below: ** Formula ** in which p>； = 0, R 1 is the methyl radical； n is an integer ranging from 6 and 25 and R2 is a linear branched alkyl radical of C16-C25, the amount of polymer (s) (b) being less than or equal to 0.6% by weight with respect to the total weight of the composition, and the ratio being by weight between the amount of polymer (s) (b) and the amount of emulsifier (s) (a) from 0.7 to 1.3, and why the oil phase is present in a amount less than 40% by weight with respect to the total weight of the composition.Composición para aplicación tópica, en forma de emulsión aceite en agua que comprende una fase oleosadispersa en una fase acuosa, caracterizada por que contiene (a) uno o varios emulsionantes no iónicos que tienenun punto de fusión inferior a 45ºC, seleccionados entre los ésteres de ácido graso y de poliol, incluyendo los quecontiene al menos una unidad oxietilenada, y sus mezclas, y (b) uno o varios polímeros no reticulados quecomprenden del (A) 80 al 99% en moles de unidad ácido 2-acrilamido 2-metilpropano sulfónico de fórmula (I):**Fórmula** en la que X+ es n protón, un catión de metal alcalino, un catión alcalinotérreo o el ión amonio； y (B) del 1 al 20% en moles de unidad de fórmula (II) siguiente:**Fórmula** en la que p >；= 0, R1 es el radical metilo； n es un número entero que va de
