How many different topology exist on A, where is |A| = n

Asked Dec 06 '15 at 12:50

Active Dec 06 '15 at 13:26

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So the question is "How many different topologies exist on A union, where is |A| = n"?

edited Dec 06 '15 at 13:26

asked Dec 06 '15 at 12:50

openspace

What is "$A$ union"? – Math1000 Dec 06 '15 at 12:53
2

This is an open problem. See, eg, http://mathoverflow.net/questions/8970/number-of-valid-topologies-on-a-finite-set-of-n-elements – lulu Dec 06 '15 at 12:59

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