证明了当n≥4时,不存在排斥Cn的k-一致的可数超图的全图.Hanjanl和Pach于1981年证明了当k=2且n=4的情形;Cherlin和Komjath于1994年证明了当k=2且n≥4的情形,这里的结果是他们结论的推广.
It is proved that there is no universal hypergraph in the family of Cn-Free k-uniform hypergraphs with countable infinite vertexes for any n≥4, which generalizes the conclusions of Hanjanl and Cherlin's.