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arXiv · 2202.06655

A Galvin-Hajnal theorem for generalized cardinal characteristics

Chris Lambie-Hanson
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Abstract

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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Chris Lambie-Hanson. 2022-02-14. A Galvin-Hajnal theorem for generalized cardinal characteristics. https://doi.org/10.1007/s40879-023-00610-7

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