Abstract
The well-known fact that each generalized homology theory h* on the category of CW spaces has a classifying spectrumE which is unique up to an isomorphism in the Boardman (homotopy) category is proved by using the fact that each such h* comes from a chain functor (cf. [1] or § 9). The proof does not use S-duality nor E. H. Brown's representation theorem.
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