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Ramsey Theory on Infinite Structures and the Method of Strong Coding Trees
[article]
2020
arXiv
pre-print
This article discusses some recent trends in Ramsey theory on infinite structures. Trees and their Ramsey theory have been vital to these investigations. The main ideas behind the author's recent method of trees with coding nodes are presented, showing how they can be useful both for coding structures with forbidden configurations as well as those with none. Using forcing as a tool for finite searches has allowed the development of Ramsey theory on such trees, leading to solutions for finite
arXiv:1909.05985v2
fatcat:66ixjzmsqrgu7eluzq5rzxz77a