TL;DR
This paper introduces the concept of weak normality in the context of ultrafilter products of small cardinalities, providing a characterization and an application to Boolean Algebras.
Contribution
It develops the notion of weak normality and applies it to Boolean Algebras, extending the understanding of ultrafilter products.
Findings
Characterization of small cardinality ultrafilter products
Introduction of the weak normality concept
Application to Boolean Algebras
Abstract
We characterize the situation of small cardinality for a product of cardinals divided by an ultrafilter. We develop the notion of weak normality. We include an application to Boolean Algebras.
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