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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Dec 30, 2011 at 15:36 history edited CommunityBot
insert duplicate link
Dec 30, 2011 at 15:36 history closed Ryan Budney
Gjergji Zaimi
Qiaochu Yuan
Dmitri Pavlov
Andreas Blass
exact duplicate
Dec 30, 2011 at 8:54 comment added Ryan Budney Yes, there is such an object. The idea for the definition comes from the universal mapping property encoded in the definition of adjoint. I'd call this functor the "maximal Hausdorff quotient" of a space. This is a good homework problem in a point-set topology course. Given a topological space $X$, consider all equivalence relations on $X$ with Hausdorff quotient, and take the intersection of all such equivalence relations.
Dec 30, 2011 at 8:44 comment added Theo Buehler This is a duplicate: mathoverflow.net/questions/78175/largest-hausdorff-quotient
Dec 30, 2011 at 8:36 history asked user2529 CC BY-SA 3.0