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Mar 30, 2015 at 9:21 comment added Martin Brandenburg "the category of topological spaces is equivalent to the category of relational algebras for the ultrafilter monad." -- they are isomorphic, I guess.
Jun 27, 2011 at 14:15 history made wiki Post Made Community Wiki
Mar 25, 2010 at 8:40 comment added abcdxyz I like this answer.
Mar 24, 2010 at 17:52 history edited David Carchedi CC BY-SA 2.5
fixed typo
Mar 24, 2010 at 0:12 comment added Minhyong Kim David: That's exactly right. What you write is interesting, but I think it's clear that an answer of the form `The axioms for a topological space are equivalent to these other ones.' is not quite satifactory.
Mar 23, 2010 at 23:56 comment added David Carchedi By my last sentence I mean, to undergraduates who have not yet seen what a topological space is!
Mar 23, 2010 at 23:50 history answered David Carchedi CC BY-SA 2.5