论文标题
hales-jewett类型的配置
Hales-Jewett type configurations in small sets
论文作者
论文摘要
N. Hindman，D。Strauss和L. Zamboni在最近的一项工作中表明，Hales-Jewett Theorem可以与表现足够好的同态同态相结合。他们的工作本质上是完全代数的，他们使用了离散半群的石技术压缩代数。他们已经证明了这些配置在分段联合集中的存在，这是Ramsey理论丰富的集合。在我们的工作中，我们将表明这些形式仍然很小，但拉姆齐理论集（如J-set，c-stet），我们的证明本质上纯粹是基本的。
In a recent work, N. Hindman, D. Strauss and L. Zamboni have shown that the Hales-Jewett theorem can be combined with a sufficiently well behaved homomorphisms. Their work was completely algebraic in nature, where they have used the algebra of Stone-Cech compactification of discrete semigroup. They have proved the existence of those configurations in piecewise syndetic sets, which is a Ramsey theoretic rich set. In our work we will show those forms are still present in very small but Ramsey theoretic sets, (like J-set, C-set) and our proof is purely elementary in nature.
