Abstract
The aim of this note is the study of the relations between the homotopy classes of maps of a spectrum A into a Kan spectrum B and the homotopy classes of maps of the components of the associated prespectrum A k into the spectrum B. The result is a little more general and consists in proving the validity for the spectra of MILNOR'S theorem, i.e. that for any countable family of subspectra A~ of A for which UA~=A and A~_A~+ ct
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