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Spherical Homology Classes in the Bordism of Lie Groups
Published online by Cambridge University Press: 20 November 2018
Extract
The mod torsion Hurewicz map
for compact Lie groups provides a useful and efficient means of studying G. In effect, it measures how far G fails to be a product of spheres. For the Hopf-Samelson theorem (see [17]) tells us that
In other words
Serre pointed out that there exists a map
inducing this Q isomorphism.
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- Copyright © Canadian Mathematical Society 1988
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