Product cones in dense pairs

Mathematical Logic Quarterly 68 (3):279-287 (2022)
  Copy   BIBTEX

Abstract

Let be an o‐minimal expansion of an ordered group, and a dense set such that certain tameness conditions hold. We introduce the notion of a product cone in, and prove: if expands a real closed field, then admits a product cone decomposition. If is linear, then it does not. In particular, we settle a question from [10].

Categories

Add categories

Keywords

Reprint years

DOI

10.1002/malq.202100028

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,197

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

The independence property in generalized dense pairs of structures.Alexander Berenstein, Alf Dolich & Alf Onshuus - 2011 - Journal of Symbolic Logic 76 (2):391 - 404.
Dependent pairs.Ayhan Günaydin & Philipp Hieronymi - 2011 - Journal of Symbolic Logic 76 (2):377 - 390.
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.
Small sets in Mann pairs.Pantelis E. Eleftheriou - 2020 - Archive for Mathematical Logic 60 (3):317-327.
Distal and non-distal pairs.Philipp Hieronymi & Travis Nell - 2017 - Journal of Symbolic Logic 82 (1):375-383.
Dimensions, matroids, and dense pairs of first-order structures.Antongiulio Fornasiero - 2011 - Annals of Pure and Applied Logic 162 (7):514-543.
Definable groups in dense pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2022 - Archive for Mathematical Logic 61 (3):345-372.
Exact Pairs for Abstract Bounded Reducibilities.Wolfgang Merkle - 1999 - Mathematical Logic Quarterly 45 (3):343-360.
Turing cones and set theory of the reals.Benedikt Löwe - 2001 - Archive for Mathematical Logic 40 (8):651-664.
On supersimplicity and lovely pairs of cats.Itaï Ben Yaacov - 2006 - Journal of Symbolic Logic 71 (3):763-776.
Self-scaled barriers for irreducible symmetric cones.A. Hauser Raphael & Lim Yongdo - unknown
The contribution of single and double cones to spectral sensitivity in budgerigars during changing light conditions.Olle Lind, Johanna Chavez & Almut Kelber - unknown
Non‐archimedean stratifications of tangent cones.Erick García Ramírez - 2017 - Mathematical Logic Quarterly 63 (3-4):299-312.
Euler’s Work on the Surface Area of Scalene Cones.Daniel J. Curtin - 2018 - In Maria Zack & Dirk Schlimm (eds.), Research in History and Philosophy of Mathematics the Cshpm 2017 Annual Meeting in Toronto, Ontario. Birkhäuser. pp. 59-67.
Euler’s Work on the Surface Area of Scalene Cones.Daniel J. Curtin - 2018 - In Amy Ackerberg-Hastings, Marion W. Alexander, Zoe Ashton, Christopher Baltus, Phil Bériault, Daniel J. Curtin, Eamon Darnell, Craig Fraser, Roger Godard, William W. Hackborn, Duncan J. Melville, Valérie Lynn Therrien, Aaron Thomas-Bolduc & R. S. D. Thomas (eds.), Research in History and Philosophy of Mathematics: The Cshpm 2017 Annual Meeting in Toronto, Ontario. Springer Verlag. pp. 59-67.

Analytics

Added to PP
2022-04-10

Downloads
11 (#1,141,924)

6 months
4 (#797,974)

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

Expansions which introduce no new open sets.Gareth Boxall & Philipp Hieromyni - 2012 - Journal of Symbolic Logic 77 (1):111-121.
A structure theorem for semibounded sets in the reals.Ya'acov Peterzil - 1992 - Journal of Symbolic Logic 57 (3):779-794.

View all 7 references / Add more references