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MR1000379 (90m:55012) 55P99 (18A30 22E99 55N91 55R40)
Jackowski, Stefan; McClure, James E. Homotopy approximations for classifying spaces of compact Lie groups. Algebraic topology (Arcata, CA, 1986), 221--234, Lecture Notes in Math., 1370, Springer, Berlin, 1989.
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