Mathegoras

Combinatorics › Sets and Venn diagrams › Counting relations and functions

Counting topologies on three points

University · ●●●○○ 50 pts

Let XX be a set with 33 elements. How many topologies can be defined on XX? Equivalently, how many subsets of the power set P(X)\mathcal{P}(X) are topologies on XX?

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