Definably extending partial orders in totally ordered structures

&
Mathematical Logic Quarterly 60 (3):205-210 (2014)
  Copy   BIBTEX

Abstract

We show, for various classes of totally ordered structures, including o‐minimal and weakly o‐minimal structures, that every definable partial order on a subset of extends definably in to a total order. This extends the result proved in for and o‐minimal.

Categories

Keywords

Reprint years

DOI

10.1002/malq.201300047

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,599

External links

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

Through your library

My notes

Similar books and articles

Extending Partial Orders on o‐Minimal Structures to Definable Total Orders.Dugald Macpherson & Charles Steinhorn - 1997 - Mathematical Logic Quarterly 43 (4):456-464.
Pseudo definably connected definable sets.Jafar S. Eivazloo & Somayyeh Tari - 2016 - Mathematical Logic Quarterly 62 (3):241-248.
A Note on Weakly O-Minimal Structures and Definable Completeness.Alfred Dolich - 2007 - Notre Dame Journal of Formal Logic 48 (2):281-292.
On the Boolean algebras of definable sets in weakly o‐minimal theories.Stefano Leonesi & Carlo Toffalori - 2004 - Mathematical Logic Quarterly 50 (3):241-248.
Compact domination for groups definable in linear o-minimal structures.Pantelis E. Eleftheriou - 2009 - Archive for Mathematical Logic 48 (7):607-623.
Locally o-minimal structures and structures with locally o-minimal open core.Antongiulio Fornasiero - 2013 - Annals of Pure and Applied Logic 164 (3):211-229.
Tameness of definably complete locally o‐minimal structures and definable bounded multiplication.Masato Fujita, Tomohiro Kawakami & Wataru Komine - 2022 - Mathematical Logic Quarterly 68 (4):496-515.
The universal covering homomorphism in o‐minimal expansions of groups.Mário J. Edmundo & Pantelis E. Eleftheriou - 2007 - Mathematical Logic Quarterly 53 (6):571-582.
Expansion of a model of a weakly o-minimal theory by a family of unary predicates.Bektur Sembiuly Baizhanov - 2001 - Journal of Symbolic Logic 66 (3):1382-1414.

Analytics

Added to PP
2015-09-03

Downloads
23 (#1,031,444)

6 months
1 (#1,609,113)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Quasi-o-minimal structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
On linearly ordered structures of finite rank.Alf Onshuus & Charles Steinhorn - 2009 - Journal of Mathematical Logic 9 (2):201-239.

Add more references