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Jan 10, 2010 at 9:52 comment added Andrej Bauer Perhaps I should have mentioned the "obvious" fact that the ultraproduct construction has a topos-theoretic analogue, namely, the filter-quotient construction (which happens to be an ultrafilter-quotient). You can read about it in e.g., MacLane and Moerdijk's "Sheaves in geometry and logic".
Jan 10, 2010 at 7:43 history answered Andrej Bauer CC BY-SA 2.5