On the genus of free loop fibrations over -spaces.

Yamaguchi, Toshihiro

Displaying similar documents to “On the genus of free loop fibrations over $F_{0}$ -spaces.”

$H$ -space structure on pointed mapping spaces.

Félix, Yves, Tanré, Daniel (2005)

Algebraic & Geometric Topology

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The category of a map and of a cohomology class

I. Berstein, Tudor Ganea (1962)

Fundamenta Mathematicae

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Elliptic spaces with the rational homotopy type of spheres.

Powell, Geoffrey M.L. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Homomorphisms of homotopy structures

I. Berstein, P. J. Hilton (1963)

Séminaire Ehresmann. Topologie et géométrie différentielle

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Rational homotopy of Serre fibrations

Jean-Claude Thomas (1981)

Annales de l'institut Fourier

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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.

A rational splitting of a based mapping space.

Kuribayashi, Katsuhiko, Yamaguchi, Toshihiro (2006)

Algebraic & Geometric Topology

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A proof of the Baues-Lemaire conjecture in rational homotopy theory

Majewski, Martin

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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...

LS-category of classifying spaces.

Gatsinzi, J.B. (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Displaying similar documents to “On the genus of free loop fibrations over F 0 -spaces.”

Displaying similar documents to “On the genus of free loop fibrations over $F_{0}$ -spaces.”