Remarks on continuum cardinals on Boolean algebras

Abstract

We give some results concerning various generalized continuum cardinals. The results answer some natural questions which have arisen in preparing a new edition of 5. To make the paper self‐contained we define all of the cardinal functions that enter into the theorems here. There are many problems concerning these new functions, and we formulate some of the more important ones.

A large list of small cardinal characteristics of Boolean algebras

“…Clearly . We have for any infinite A by (the proof of) [, Proposition 2.1].…”