Abstract
We study the rational homotopy of function spaces within the context of Quillen's minimal models. Our method is to consider a spectral sequence with E~ 'q = Hq(X, lr~+q(Y) ® ~) converging to the rational homotopy groups of components of the based function space M(X,Y).. Our results include calculations of rational homotopy groups as well as general contributions to the rational classification problem for components of function spaces.
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