We discuss the NLO evolution of quark transversity densities and of the
parton distribution function for linearly polarized gluons in a linearly
polarized hadron. A supersymmetric relation between the NLO evolution kernels
for transversity and for linear polarization is found. We also study the
implications of NLO evolution for Soffer's inequality and the prospects of
measuring transversity densities in polarized Drell-Yan at RHIC.Comment: 12 Pages, LaTeX, 4 figures as eps files, Invited talk presented at
the `Cracow Epiphany Conference on Spin Effects in Particle Physics and
Tempus Workshop', Jan. 9--11, 1998, Cracow, Polan
