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Universal matrices and strongly unbounded functions

Universal matrices and strongly unbounded functions

Fix an uncountable cardinal λ.A symmetric matrix M = (m αβ ) α,β<λ whose entries are countable ordinals is called strongly universal if for every positive integer n, for every n × n matrix (b ij ) i,j<n and for every uncountable setfor 0 ≤ i, j < n.We go …