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A Remark on a Theorem of Erdos. (arXiv:1711.11061v1 [math.LO])

来源于:arXiv
A theorem of Erdos asserts that every infinite subset of Euclidean n-space R^n has a subset of the same cardinality having no repeated distances. This theorem is generalized here as follows: If (R^n,E) is an algebraic hypergraph that does not have an infinite, complete subset, then every infinite subset of it has an independent subset of the same cardinality. 查看全文>>