Abstract
Let S = (X, ;f,: X1q -Xa} be an inverse limit spectrum of compact Hausdorff spaces. We obtain necessary and sufficient conditions that there be a closed subspace W of a Cantor space and a family f.: W -+ X,,} of continuous surjections such that for each pair a < 3, fa f, = fa. This result is applied to a special class of inverse spectra.
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