The elementary-equivalence classes of clopen algebras of $P$-spaces

Volume 201 / 2008

Brian Wynne Fundamenta Mathematicae 201 (2008), 149-161 MSC: Primary 54G10, 06E99; Secondary 03C07. DOI: 10.4064/fm201-2-4


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.


  • Brian WynneBard College at Simon's Rock
    Box #143
    84 Alford Road
    Great Barrington, MA 01230-1978, U.S.A.

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