(n)-pairing with axes in rational homotopy.

Let f : X → Z and g : Y → Z be maps between connected pointed CW-complexes. Recall the definition of pairing with axes f and g due to N.Oda [16]. In this paper, we introduce (n)-pairing, which is a generalization of H(n)-space due to Y.Félix and D.Tanré [5] and define a family of subsets of the homotopy set of maps. We give some rational characterizations of it and illustrate some examples in Sullivan models. Also we consider about the G(n)-sequence of a fibration which is a generalization of G-sequence [11],[13]. [ABSTRACT FROM AUTHOR]