The following theorem involves Eilenberg-MacLane spaces in relation to cohomology groups for connected CW-complexes.
Let
be Eilenberg-MacLane spaces for connected
CW complexes
,
Abelian groups
and integers
. Let us also consider the set of non-basepointed homotopy
classes
of non-basepointed maps
and the cohomolgy groups
. Then, there exist the following natural isomorphisms:
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