Abstract
The "Eilenberg-Moore" type spectral sequences which connect K ∗ ( Ω X ) {K^ * }(\Omega X) and K ∗ ( X ) {K^*}(X) have well-known bad properties, when, for example, X = K ( Z / p , 2 ) X = K(\mathbb {Z}/p,2) . This paper shows that the result can be as bad when X X is a finite complex.
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