Journal of Pure and Applied Algebra
We identify the long exact sequence induced on rational homotopy groups by the evaluation map ω: map(X, Y ; f)→Y and in particular the rationalization of the evaluation subgroups off, in terms of derivations of Quillen models and adjoint maps. We consider a generalization of a question of Gottlieb within the context of rational homotopytheory. We also study the rationalization of the G-sequence of a map. In a separate result of independent interest, we give an explicit Quillen minimal model of a product A×X, in the case in which A is a rational co-H-space.
Lupton, Gregory and Smith, Samuel Bruce, "Rationalized Evaluation Subgroups of A Map II: Quillen Models and Adjoint Maps" (2007). Mathematics Faculty Publications. 228.
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