A Galvin–Hajnal theorem for generalized cardinal characteristics Article Swipe

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Uncountable set Cofinality Mathematics Regular cardinal Variety (cybernetics) Discrete mathematics Class (philosophy) Pure mathematics Combinatorics Countable set Computer science Statistics Artificial intelligence

Chris Lambie‐Hanson ·

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YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1007/s40879-023-00610-7 · OA: W4320913830

We prove that a variety of generalized cardinal characteristics, including meeting numbers, the reaping number, and the dominating number, satisfy an analogue of the Galvin–Hajnal theorem, and hence also of Silver’s theorem, at singular cardinals of uncountable cofinality.

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