A Galvin-Hajnal theorem for generalized cardinal characteristics

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.

18 pages

References in corpus (3)

• A strong polarized relation
• The ultrafilter number for singular cardinals
• Dear Lambda

Cited by in corpus (1)

• On compactness of weak square at singulars of uncountable cofinality