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Started totally convex space as a spin-off from algebraic theories in functional analysis.
Great!
I didn't edit the article nearly as much as the diff makes it look. But I had to edit the header sizes to make the TOC work, and my grammar meter made me cut out at least one word in each paragraph, so ….
Well, OK, I did a second definition.
Also, I removed the claim that the first example consists of the free TCSes, since not every Banach space is of the form .
Thanks!
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