TITLE: The Eilenberg-Moore spectral sequence for K-theory; 
       applications to $p$-compact homogeneous spaces.
AUTHORS: A. Jeanneret \& A. Osse
AMS SUBJECT CLASSIFICATION (1991): 55T20, 55N15, 55P35, 57T35.
ADDRESSES OF AUTHORS:	A. Jeanneret     
			Mathematisches Institut         
			Sidlerstrasse          
			CH-3012 BERN (Switzerland)/
		        A. Osse         
			Institut de Mathematiques         
			Rue Emile Argand 11         
			CH-2007 NEUCHATEL (Switzerland)
Email ADDRESS OF AUTHORS:	
	jeanner@math-stat.unibe.ch /
	AKImou.osse@maths.unine.ch         
ABSTRACT:
We construct the Eilenberg-Moore spectral sequence for some 
generalized cohomology theories, along the lines of Smith and Hodgkin. 
We prove its multiplicativity and  give some sufficient conditions 
for its convergence to the desired target. As applications, we compute 
the K-theory of various spaces associated to $p$-compact groups.