Fibrewise rational H-spaces
Algebraic Topology
2012-08-21 v1
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.
Cite
@article{arxiv.1208.4073,
title = {Fibrewise rational H-spaces},
author = {Gregory Lupton and Samuel B. Smith},
journal= {arXiv preprint arXiv:1208.4073},
year = {2012}
}
Comments
21 pages