Regarding carbon nanotube technology
"Los Alamos National Laboratory has licensed its carbon nanotube technology to a new commercial partner, Seattle-based CNT Technologies Inc. (CNT Tech). The ultrastrong, lightweight carbon-nanotube fiber, branded SuperThread(tm) by the company, can have better properties than steel for many applications and could soon be the primary substance from which airplanes, automobile parts, and sports equipment are made. Initial tests show that SuperThread is pound for pound (for the same weight) one-hundred times stronger than steel and less than one-fortieth the weight.
...
Within six months CNT Tech plans to be making 1 kilogram per day of SuperThread yarn. Over the next 15 months, CNT Tech plans to scale up production of the nanotubes in its new laboratory at the Los Alamos Research Park. It will begin spinning the ultrastrong carbon-nanotube fiber on a custom-designed, computer-controlled spinning machine developed by the world's foremost experts in the fields of textile manufacturing, and machine construction. New machinery, designed using similar principle to those used in textile manufacturing, will be used to spin the carbon-nanotube fibers together to create SuperThread."

http://www.lanl.gov/news/index.php/fuseaction/home.story/story_id/8855

Of course according to space elevator article this stuff isn't strong enough