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Apr 19, 2010 at 13:31 comment added Steven Gubkin Any time you try to give a map out of a quotient type object by defining the map on equivalence relations you also have to check that your map is well defined. Checking that maps out of tensor products are well defined without using the universal mapping property is TERRIBLE for all but the simplest cases.
Apr 19, 2010 at 10:51 history answered Don Stanley CC BY-SA 2.5