Mathematics – General Topology
Scientific paper
1999-08-15
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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