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arXiv · 1208.4073

Fibrewise rational H-spaces

Gregory Lupton·Samuel B. Smith
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Abstract

We prove fibrewise versions of classical theorems of Hopf and Leray-Samelson. Our results imply the fibrewise H-triviality after rationalization of a certain class of fibrewise H-spaces. They apply, in particular, to universal adjoint bundles. From this, we may retrieve a result of Crabb and Sutherland [Proc. London Math. Soc. (2000), 747-768], which is used there as a crucial step in establishing their main finiteness result.

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Gregory Lupton, Samuel B. Smith. 2012-08-20. Fibrewise rational H-spaces. https://doi.org/10.2140/agt.2012.12.1667

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