Ramsey-product subsets of a group
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2
Abstract
Given an infinite group G and a number vector m→=(m1,…,mk)∈Zk of finite length k, we say that a subset A of G is a Ramsey m→-product set if every infinite subset X⊂G contains distinct elements x1,…,xk∈X such that xm1σ(1)…xmkσ(k)∈A for any permutation σ∈Sk. We use these subsets to characterize combinatorially some algebraically defined subsets of the Stone-Cech compactification βG of G.
Authors and Affiliations
Taras Banakh, I. Protasov, K. Protasov
Keywords
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- EP ID EP310093
- DOI 10.15330/ms.47.2.145-149
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