Described are polymer particles or polymer fibers covalently bonded to N-chloroamines, N,N-dichloroamines, N-chloro sulfonamides or N,N-dichloro sulfonamides, for removing volatile organic compounds (VOCs) from a space above a wound. The removal of said VOCs is believed to be primarily or predominantly by chemical reaction of the VOCs with the N-chloro or the N,N dichloro group as covalently attached to the polymer. In particular, the functionalized polymer particles or polymer fibers are part of a wound dressing and have the functionality to control, in particular reduce, odor emanating from wounds, without interacting with the wound. The described dressings can be advantageously used, in particular, in the treatment of chronic wounds or infected wounds.