Longitudinally polarized electrons, accelerated as a small fraction of the total current in the e+ arm of the TESLA collider, can be directed onto a solid state target that may be either longitudinally or transversely polarized. In this way, polarized electron-nucleon scattering measurements can be realized with projected luminosities that are about two orders of magnitude higher than those of comparable experiments. This will allow the measurement of a large variety of polarized parton distribution and fragmentation functions with unprecedented accuracy, many of them for the first time. A main result will be the precise measurement of the x- and Q2 -dependence of the as yet experimentally totally unknown transverse quark spin distributions
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