Boolean Algebras

The core of this chapter develops the basic properties of boolean algebras: First we prove Stone’s Duality theorem linking boolean algebras to the category of compact zero-dimensional Hausdorff spaces. Next we give several different presentations of these algebras in terms of their logical properties (Definition 3.1.1), of their ring structure (Theorem 3.9.3), and as partial orders (Lemma 3.10.3).