Mathematical Logic Quarterly 63 (3-4):299-312 (2017)

Abstract
We study the impact of a kind of non-archimedean stratifications on tangent cones of definable sets in real closed fields. We prove that such stratifications induce stratifications of the same nature on the tangent cone of a definable set at a fixed point. As a consequence, the archimedean counterpart of a t-stratification is shown to induce Whitney stratifications on the tangent cones of a semi-algebraic set. Extensions of these results are proposed for real closed fields with further structure.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
ISBN(s)
DOI 10.1002/malq.201600023
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,268
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14-34.
B-Minimality.Raf Cluckers & François Loeser - 2007 - Journal of Mathematical Logic 7 (2):195-227.
T-Convexity and Tame Extensions.Dries Lou Van Den & H. Lewenberg Adam - 1995 - Journal of Symbolic Logic 60 (1):74 - 102.
T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14 - 34.

View all 6 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Measurement Without Archimedean Axioms.Louis Narens - 1974 - Philosophy of Science 41 (4):374-393.
Connections and Geodesics in the Spacetime Tangent Bundle.Howard E. Brandt - 1991 - Foundations of Physics 21 (11):1285-1295.
Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.
Turing Cones and Set Theory of the Reals.Benedikt Löwe - 2001 - Archive for Mathematical Logic 40 (8):651-664.
Mengzi and the Archimedean Point for Moral Life.Xinyan Jiang - 2014 - Journal of Chinese Philosophy 41 (1-2):74-90.
On Weak Extensive Measurement.Hans Colonius - 1978 - Philosophy of Science 45 (2):303-308.
Finsler Geometry and Relativistic Field Theory.R. G. Beil - 2003 - Foundations of Physics 33 (7):1107-1127.

Analytics

Added to PP index
2017-10-31

Total views
10 ( #799,781 of 2,325,383 )

Recent downloads (6 months)
7 ( #108,121 of 2,325,383 )

How can I increase my downloads?

Downloads

My notes