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2012 Fibrewise rational H-spaces
Gregory Lupton, Samuel Bruce Smith
Algebr. Geom. Topol. 12(3): 1667-1694 (2012). DOI: 10.2140/agt.2012.12.1667

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. 81 (2000) 747–768], which is used there as a crucial step in establishing their main finiteness result.

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Gregory Lupton. Samuel Bruce Smith. "Fibrewise rational H-spaces." Algebr. Geom. Topol. 12 (3) 1667 - 1694, 2012. https://doi.org/10.2140/agt.2012.12.1667

Information

Received: 9 January 2012; Revised: 24 April 2012; Accepted: 5 June 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1248.55004
MathSciNet: MR2966699
Digital Object Identifier: 10.2140/agt.2012.12.1667

Subjects:
Primary: 55P62
Secondary: 55P45, 55R70

Rights: Copyright © 2012 Mathematical Sciences Publishers

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Vol.12 • No. 3 • 2012
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