ABSTRACT: On the cohomology of generalized homogeneous spaces by J.P. May and F. Neumann The University of Chicago Georg-August-Universit\"at, G\"ottingen, Germany may@math.uchicago.edu neumann@cfgauss.uni-math.gwdg.de April 20, 2000 subjclass: Primary 55P35, 57T35; Secondary 57T15 We observe that work of Gugenheim and May on the cohomology of classical homogeneous spaces G/H of Lie groups applies verbatim to the calculation of the cohomology of generalized homogeneous spaces G/H, where G is a finite loop space or a p-compact group and H is a ``subgroup'' in the homotopical sense.