Rational function spaces
We calculate the size of the rationalization of the function space Map(X, E) for E being the total space of a principal fibration induced by a map between two loop spaces. We then discuss the rational homotopy types among the path components of the function space with ℂPn as the target space.
Boletin de la Sociedad Matematica Mexicana
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Tse, Kung Kuen, "Rational function spaces" (2003). Kean Publications. 2674.