- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
The choice property in tame expansions of o‐minimal structures
Mathematical Logic Quarterly 66 (2):239-246 (2020)
Abstract
We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o‐minimal structures. Most noteworthily, this property holds for dense pairs of real closed fields, as well as for expansions of o‐minimal structures by a dense independent set.Other Versions
No versions found
My notes
Similar books and articles
Distal and non-distal pairs.Philipp Hieronymi & Travis Nell - 2017 - Journal of Symbolic Logic 82 (1):375-383.
Dependent pairs.Ayhan Günaydin & Philipp Hieronymi - 2011 - Journal of Symbolic Logic 76 (2):377 - 390.
Weakly o-minimal nonvaluational structures.Roman Wencel - 2008 - Annals of Pure and Applied Logic 154 (3):139-162.
Locally o-Minimal Structures with Tame Topological Properties.Masato Fujita - 2023 - Journal of Symbolic Logic 88 (1):219-241.
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.
Expansions of o-minimal structures by dense independent sets.Alfred Dolich, Chris Miller & Charles Steinhorn - 2016 - Annals of Pure and Applied Logic 167 (8):684-706.
Definable Open Sets As Finite Unions of Definable Open Cells.Simon Andrews - 2010 - Notre Dame Journal of Formal Logic 51 (2):247-251.
Open core and small groups in dense pairs of topological structures.Elías Baro & Amador Martin-Pizarro - 2021 - Annals of Pure and Applied Logic 172 (1):102858.
Definable sets in Boolean ordered o-minimal structures. II.Roman Wencel - 2003 - Journal of Symbolic Logic 68 (1):35-51.
A fixed point theorem for o-minimal structures.Kam-Chau Wong - 2003 - Mathematical Logic Quarterly 49 (6):598.
Analytics
Added to PP
2020-06-24
Downloads
23 (#925,474)
6 months
6 (#820,551)
2020-06-24
Downloads
23 (#925,474)
6 months
6 (#820,551)
Historical graph of downloads
References found in this work
Expansions of o-minimal structures by dense independent sets.Alfred Dolich, Chris Miller & Charles Steinhorn - 2016 - Annals of Pure and Applied Logic 167 (8):684-706.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-667477cd97-cvrck dc2