Equipment consisting of a cover capable of being placed around a part of the body, said cover comprising: (a) an arrival connectable to a gas source and an outlet for the evacuation of the gases present inside the cover； (b) at least two complementary parts (1, 2) that define between them a cavity of section greater than that of the part of the body to be treated, characterized in that it further comprises a gas feed comprising an enrichment means of a carrier gas with at least one active principle, because the walls of the two complementary parts of the roof have an average thermal conduction of less than or equal to 65 mW / mK measured according to EN-12667, and why the two complementary parts ( 1, 2) they are constituted of cellular material that has been subjected to a surface treatment on its internal and external surfaces of the type of thermal treatment of smoothing or application of skins or surface films so that the cover has an oxygen permeability comprised between 1 cm3 / m2.atm.24h and 300 cm3 / m2.atm.24h, preferably between 10 cm3 / m2.atm.24h and 200 cm3 / m2.atm.24hb (ASTM F1927-98).Equipo constituido por una cubierta apta para ser colocada alrededor de una parte del cuerpo, comprendiendo la citada cubierta: (a) una llegada conectable a una fuente de gas y una salida para la evacuación de los gases presentes en el interior de la cubierta； (b) al menos dos partes complementarias (1, 2) que definen entre ellas una cavidad de sección superior a la de la parte del cuerpo que haya que tratar, caracterizado porque comprende además una alimentación de gas que comprende un medio de enriquecimiento de un gas portador con al menos un principio activo, por que las paredes de las dos partes complementarias de la cubierta tienen una conducción térmica media inferior o igual a 65 mW / m.K medida según la norma EN-12667, y por que las dos partes complementarias (1, 2) están constituidas de material celular que haya sido sometido a un tratamiento de superficie en su
