- 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 Field of LE-Series with a Nonstandard Analytic Structure
Notre Dame Journal of Formal Logic 52 (3):255-265 (2011)
Abstract
In this paper we prove that the field of Logarithmic-Exponential power series endowed with the exponential function and a class of analytic functions containing both the overconvergent functions in the t -adic norm and the usual strictly convergent power series is o-minimal.Author's Profile
Other Versions
No versions found
Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Sign in / register and customize your OpenURL resolver
- Configure custom resolver
My notes
Similar books and articles
P-adically closed fields with nonstandard analytic structure.Ali Bleybel - 2010 - Journal of Symbolic Logic 75 (3):802-816.
Model theory of analytic functions: some historical comments.Deirdre Haskell - 2012 - Bulletin of Symbolic Logic 18 (3):368-381.
Existence of prime elements in rings of generalized power series.Daniel Pitteloud - 2001 - Journal of Symbolic Logic 66 (3):1206-1216.
On the Elementary Theory of Restricted Real and Imaginary Parts of Holomorphic Functions.Hassan Sfouli - 2012 - Notre Dame Journal of Formal Logic 53 (1):67-77.
Noetherian varieties in definably complete structures.Tamara Servi - 2008 - Logic and Analysis 1 (3-4):187-204.
Quasi-o-minimal structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
Idealization in Quantum Field Theory.Stephan Hartmann - 1990 - In Niall Shanks, Idealization in Contemporary Physics. pp. 99-122.
Stabilité polynômiale Des corps différentiels.Natacha Portier - 1999 - Journal of Symbolic Logic 64 (2):803-816.
Analytics
Added to PP
2011-07-29
Downloads
81 (#700,215)
6 months
13 (#892,628)
2011-07-29
Downloads
81 (#700,215)
6 months
13 (#892,628)
Historical graph of downloads
Author's Profile
References found in this work
Expansions of dense linear orders with the intermediate value property.Chris Miller - 2001 - Journal of Symbolic Logic 66 (4):1783-1790.
Logarithmic-exponential series.Lou van den Dries, Angus Macintyre & David Marker - 2001 - Annals of Pure and Applied Logic 111 (1-2):61-113.
The Elementary Theory of Restricted Analytic Fields with Exponentiation.Lou van den Dries, Angus Macintyre & David Marker - 2000 - Bulletin of Symbolic Logic 6 (2):213-216.
Try MATCHA Writer if you're interested in citing directly from PhilPapers and certifying your authorship.
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