Definable sets in Boolean-ordered o-minimal structures. I

Journal of Symbolic Logic 66 (4):1821-1836 (2001)
  Copy   BIBTEX

Abstract

We prove weak elimination of imaginary elements for Boolean orderings with finitely many atoms. As a consequence we obtain equivalence of the two notions of o-minimality for Boolean ordered structures, introduced by C. Toffalori. We investigate atoms in Boolean algebras induced by algebraically closed subsets of Boolean ordered structures. We prove uniqueness of prime models in strongly o-minimal theories of Boolean ordered structures

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 74,569

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Scott Incomplete Boolean Ultrapowers of the Real Line.Masanao Ozawa - 1995 - Journal of Symbolic Logic 60 (1):160-171.
Small Theories of Boolean Ordered o-Minimal Structures.Roman Wencel - 2002 - Journal of Symbolic Logic 67 (4):1385-1390.
Quasi-o-Minimal Structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
Elementary Embedding Between Countable Boolean Algebras.Robert Bonnet & Matatyahu Rubin - 1991 - Journal of Symbolic Logic 56 (4):1212-1229.
Semantics in Banach Spaces.Sławomir Bugajski - 1983 - Studia Logica 42 (1):81 - 88.
Presburger Sets and P-Minimal Fields.Raf Cluckers - 2003 - Journal of Symbolic Logic 68 (1):153-162.
Weakly o-Minimal Structures and Some of Their Properties.B. Sh Kulpeshov - 1998 - Journal of Symbolic Logic 63 (4):1511-1528.
Definable Sets in Boolean Ordered o-Minimal Structures. II.Roman Wencel - 2003 - Journal of Symbolic Logic 68 (1):35-51.

Analytics

Added to PP
2009-01-28

Downloads
28 (#413,374)

6 months
1 (#418,511)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Imaginaries in Boolean Algebras.Roman Wencel - 2012 - Mathematical Logic Quarterly 58 (3):217-235.
Weak Elimination of Imaginaries for Boolean Algebras.Roman Wencel - 2005 - Annals of Pure and Applied Logic 132 (2-3):247-270.

Add more citations

References found in this work

Lattice Ordered O -Minimal Structures.Carlo Toffalori - 1998 - Notre Dame Journal of Formal Logic 39 (4):447-463.
Stability in Model Theory.Daniel Lascar & J. E. Wallington - 1990 - Journal of Symbolic Logic 55 (2):881-883.

Add more references