Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. V

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We generalize to the relations $(λ, μ) \stackrelκ{\Rightarrow} (λ', μ')$ and $\alm (λ, μ) \stackrelκ{\Rightarrow} \alm (λ', μ')$ some results obtained in Parts II and IV. We also present a multi-cardinal version.
11 pages

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