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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) …

6,874 more words
Math.CA

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

Expository