Tag Archives: reflection principles

The reflection principle R2

A few years ago, in this paper, I introduced the following reflection principle: Definition. R2(θ,κ) asserts that for every function f:E<κθκ, there exists some j<κ for which the following set is nonstationary: Aj:={δEκθf1[j]δ is nonstationary}. I wrote there … Continue reading

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The chromatic numbers of the Erdos-Hajnal graphs

Recall that a coloring c:Gκ of an (undirected) graph (G,E) is said to be chromatic if c(v1)c(v2) whenever {v1,v2}E. Then, the chromatic number of a graph (G,E) is the least cardinal κ for which there exists a chromatic … Continue reading

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