Space Elevators by Otis'

In 1895, Russian scientist Konstantin Tsiolkovsky was inspired by the spindle shaped Eiffel Tower that he speculated how one could put a "celestial castle" atop as Jack had climbed the beanstock to the Gaint's castle above.  The tower would be built from the ground to an altitude of 35,800 kilometers.

Technology...There are two area in which recent innovation can make a radical difference, control and transport...Robotics replace laborious, unwieldy process of storage, retrieval, sorting, and reshuffling with smooth movements of frenzied ease that force us to rethink entire systems of classification and categorization....the second innovation is in transport. as more and more architecture is finally unmasked as the mere organization of flows-shopping centers, airports-it is evident that circulation is what makes or breaks public architecture...two simple, almost primitive inventions have driven modernizations towards mass occupancy of previously unattainable heights: the elevator and the escalator. . one moves only up and down, one only diagonally.

At the dawn of the 21st century, a number of advances in vertical transportation's are being made, from cable-less self-propelled elevator systems to Otis’...Odyssey, a small train, platform, or large box that moves horizontally, vertically, and diagonally-literally opening up new architectural potential: to extend the urban condition itself fro the ground floor to strategic points inside a building in a continuous trajectory.

-Rem Koolhaus, Delirious New York

Currently, NASA's dream of building such space elevator holds on the principle of earth's geosynchronous orbit.  The dream "castle" positioned in geosynchronous orbit would remain over the same spot on the earth. Otis, a major world wide elevator company says that such projects are possible based on current elevator technologies capable of producing transportation systems several miles high.