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Ah, thanks.
added a section “Applications – In equivariant homotopy theory” (here) with this remark:
Compact Lie groups make a somewhat unexpected appearance as equivariance groups in equivariant homotopy theory, where the compact Lie condition on the equivariance group is needed in order for (the available proofs of) the equivariant Whitehead theorem to hold.
added brief mentioning of the equivariant triangulation theorem under “Properties” (here)
added pointer to:
I have added (here) the statement that connected compact abelian Lie groups are tori (with reference to Adams 1982) and then statement and proof that compact abelian Lie groups are direct products of tori with finite abelian groups.
For ease of cross-linking this at other relevant pages, I’ll give this also it’s own little stand-alone page “classification of abelian compact Lie groups”.
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