Spools of Nanotube Fiber – Rice University
100 times stronger than steel and 1/6th the weight!
This fiber has high thermal conductivity and excellent electrical conductivity.
Possible uses are likely to be found in aerospace, medical, and automotive areas, and in the area of smart-clothing, as well.
Of note in the video is the high strength fiber supporting the weight of a 50-gram LED light-bulb while also powering the same light bulb (channeling electricity into it).
How about winding this fiber into a giant rope to ride up out of the atmosphere on a space elevator? (It could both support and power the lift!)