The elementary-equivalence classes of clopen algebras of $P$-spaces
Volume 201 / 2008
Fundamenta Mathematicae 201 (2008), 149-161
MSC: Primary 54G10, 06E99; Secondary 03C07.
DOI: 10.4064/fm201-2-4
Abstract
Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal $P$-space.
