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Omni-MATH / Find the number of nonempty sets F of subsets of the set 1,…,2014 such that: (a) For any subsets S₁,S₂∈F,S₁∩S₂∈F. (b) If S∈F,T⊆1,…,2014, and S⊆T, then T∈F. · Discussion

Discussing Find the number of nonempty sets F of subsets of the set {1,…,2014} such that: (a) For any subsets S₁,S₂∈F,S₁∩S₂∈F. (b) If S∈F,T⊆{1,…,2014}, and S⊆T, then T∈F. · Omni-MATH

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