Compact groups and absolute extensors

Details Compact groups and absolute extensors Compact groups and absolute extensors

1999-08-15

arxiv.org/abs/math/9908076v1

Topology Proc. 22, Summer 1997, 63-70

Mathematics

General Topology

Scientific paper

We discuss compact Hausdorff groups from the point of view of the general
theory of absolute extensors. In particular, we characterize the class of
simple, connected and simply connected compact Lie groups as AE(2)-groups the
third homotopy group of which is $\text{\f Z}$. This is the converse of the
corresponding result of R. Bott.

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