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254A, Notes 4: Building metrics on groups, and the Gleason-Yamabe theorem

In this set of notes we will be able to finally prove the Gleason-Yamabe theorem from Notes 0, which we restate here:

Theorem 1 (Gleason-Yamabe theorem) …

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Gleason's lemma

This is another installment of my my series of posts on Hilbert’s fifth problem. One formulation of this problem is answered by the following theorem of… 4,776 more words