MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 921

Preprint Number 921

Previous Next Preprint server


921. Erick Garcia Ramirez
Stratifications of tangent cones in real closed (valued) fields
E-mail:

Submission date: 10 September 2015.

Abstract:

We introduce tangent cones of subsets of cartesian powers of a real closed field, generalising the notion of the classical tangent cones of subsets of Euclidean space. We then study the impact of non-archimedean stratifications (t-stratifications) on these tangent cones. Our main result is that a t-stratification induces stratifications of the same nature on the tangent cones of a definable set. As a consequence, we show that the archimedean counterpart of a t-stratification induces Whitney stratifications on the tangent cones of a semi-algebraic set. The latter statement is achieved by working with the natural valuative structure of non-standard models of the real field.

Mathematics Subject Classification: 03C98, 03C64

Keywords and phrases:

Full text arXiv 1509.03238: pdf, ps.


Last updated: September 25 2015 13:05 Please send your corrections to: