Today I was reading some introductory book about topology, and a doubt come to my mind:(adsbygoogle = window.adsbygoogle || []).push({});

If [tex]X[/tex] is a finite set of [tex]n[/tex] elements, is there a way to know how many different topologies can [tex]X[/tex] have?

I think it is some combinatorial problem, but not sure.

Thanks for your help.

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# How many different topologies can X have?

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