Compact groups and absolute extensors

Alex Chigogidze

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arXiv · math/9908076

Compact groups and absolute extensors

Alex Chigogidze

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Abstract

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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Alex Chigogidze. 1999-08-15. Compact groups and absolute extensors. https://arxiv.org/abs/math/9908076

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