Filling certain cuts in discrete weakly o-minimal structures

Mathematical Logic Quarterly 51 (2):145 (2005)
  Copy   BIBTEX

Abstract

Discrete weakly o-minimal structures, although not so stimulating as their dense counterparts, do exhibit a certain wealth of examples and pathologies. For instance they lack prime models and monotonicity for definable functions, and are not preserved by elementary equivalence. First we exhibit these features. Then we consider a countable theory of weakly o-minimal structures with infinite definable discrete subsets and we study the Boolean algebra of definable sets of its countable models

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

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

Weakly o-Minimal Expansions of Boolean Algebras.Carlo Toffalori & S. Leonesi - 2001 - Mathematical Logic Quarterly 47 (2):223-238.
Weakly o-minimal structures and some of their properties.B. Sh Kulpeshov - 1998 - Journal of Symbolic Logic 63 (4):1511-1528.
A Note on Weakly O-Minimal Structures and Definable Completeness.Alfred Dolich - 2007 - Notre Dame Journal of Formal Logic 48 (2):281-292.
Dp-Minimality: Basic Facts and Examples.Alfred Dolich, John Goodrick & David Lippel - 2011 - Notre Dame Journal of Formal Logic 52 (3):267-288.
Lattice Ordered O -Minimal Structures.Carlo Toffalori - 1998 - Notre Dame Journal of Formal Logic 39 (4):447-463.
T-Height in Weakly O-Minimal Structures.James Tyne - 2006 - Journal of Symbolic Logic 71 (3):747 - 762.
Strongly and co-strongly minimal abelian structures.Ehud Hrushovski & James Loveys - 2010 - Journal of Symbolic Logic 75 (2):442-458.
A monotonicity theorem for dp-minimal densely ordered groups.John Goodrick - 2010 - Journal of Symbolic Logic 75 (1):221-238.
Isolated types in a weakly minimal set.Steven Buechler - 1987 - Journal of Symbolic Logic 52 (2):543-547.

Analytics

Added to PP
2013-12-01

Downloads
23 (#581,732)

6 months
1 (#1,028,709)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references