A cable which may be used in buildings in riser shafts includes a core (22) which includes at least one transmission medium which is enclosed in a non-halogenated plastic material. The core is enclosed with a jacket (29) which also is made of a non-halogenated plastic material. The non-halogenated material which encloses the transmission medium is a plastic material selected from the group consisting of a filled polyolefin, a polyphenylene oxide, a polyetherimide and a silicone-polyimide copolymer, and blend compositions of a polyetherimide and a silicone-polyimide copolymer. For the jacket, the plastic material comprises a filled polyolefin.