This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly ϭ-filtered Boolean algebras. We show that for every uncountable ...

Abstract: In this paper we show that the Stone representation theorem for Boolean algebras can be generalized to combinatory algebras. In every combinatory algebra there is a Boolean algebra of ...

My present research interests are the theory of infinite Boolean algebras and related set-theoretic topics, such as continuum cardinals and pcf theory. My previous research was in algebraic logic ...