A rational splitting of a based mapping space.
Kuribayashi, Katsuhiko, Yamaguchi, Toshihiro (2006)
Algebraic & Geometric Topology
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Displaying similar documents to “-space structure on pointed mapping spaces.”
A rational splitting of a based mapping space.
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In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
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On Davis-Januszkiewicz homotopy types I: formality and rationalisation.
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A proof of the Baues-Lemaire conjecture in rational homotopy theory
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This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of and [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined in a...