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May 31, 2012 at 15:08 comment added Jonathan Beardsley Thanks Tyler, that's a really nice counterexample. This may not be such a bad thing. That is, I'd really be interested in knowing more about this limit of categories. For instance, what do its localizing subcategories look like? We know the structure of localizing subcategories for each category in the sequence. Also, can we get a more general "chromatic convergence" type situation by just looking at a limit of the E(n) local subcats, and not even their finite objects.
May 26, 2012 at 12:47 history answered Tyler Lawson CC BY-SA 3.0