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## Main Question or Discussion Point

Today I was reading some introductory book about topology, and a doubt come to my mind:

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.

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.