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Abstract:
Letf:X→Ybe a map between simply connected spaces having the homotopyof finite type CW-complexes, whereH∗(Y,Q) is finite dimensional andφ:(∧V,d)→(B,d) a Sullivan model off. We consider (B,d) as a module over∧Vvia the mappingφ.Let map(X,Y;f) denote the component offin the space of mappings fromXtoY. In thispaper we show that there is a canonical injectionπ∗(Ωmap(X,Y;f))⊗Q→H H∗(∧V;B).