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Dec 16, 2014 at 18:17 comment added Joseph Van Name @Dominic van der Zypen. Yes. I was thinking about using the proposition mentioned in this answer to construct a counterexample to the claim that the collection of universal maps is closed under composition. In particular, I was thinking about compositing a map satisfying the assumptions of the proposition with a map satisfying the assumptions of the dual of the proposition.
Dec 16, 2014 at 17:45 comment added Dominic van der Zypen Very good example + presentation! Maybe this example can be made to work as a counterexample for the claim "The composition of 2 universal maps is universal"
Dec 16, 2014 at 17:43 vote accept Dominic van der Zypen
Dec 16, 2014 at 2:39 history answered Joseph Van Name CC BY-SA 3.0