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Published online by Cambridge University Press: 24 October 2008
Let p be a prime and n ≥ 3. Then there is a simply connected CW-complex,
, unique up to homotopy type, such that


Let X be a CW-complex. Write
, the group of pointed homotopy classes of pointed maps from
to X. The group structure derives from the fact that, under the restriction on n,
is a suspension.