Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The trace of a set F on a another set X is F |X = F ∩ X and the trace of a family F of sets on X is FX = {F |X : F ∈ F}. In this note  prove that if a k-uniform family F ⊂ [n] k � has the property that for any k-subset X the trace F| X
['Balázs Patkós']
I am writing a research paper on a idea Traces of Uniform Families of Sets
[{"from": "human", "value": "I am writing a research paper on a idea Traces of Uniform Families of Sets"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The trace of a set F on a another set X is F |X = F \u2229 X and the trace of a family F of sets on X is FX = {F |X : F \u2208 F}. In this note  prove that if a k-uniform family F \u2282 [n] k \ufffd has the property that for any k-subset X the trace F| X"}]