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Combinatorial properties of infinite sets. This is a corner-point of set theory and combinatorics.
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a rectangle coloring question
Question 1. Let $\kappa<\lambda$ are uncountable regular cardinal. For any coloring $c: \kappa\times \lambda \rightarrow \omega$, are there $A\in [\kappa]^\kappa$ and $B\in [\lambda]^\lambda$ such t …