Kaiser, Tobias and Rolin, J. -P. and Speissegger, P. (2009) Transition maps at non-resonant hyperbolic singularities are o-minimal. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 636. pp. 1-45. ISSN 0075-4102,
Full text not available from this repository. (Request a copy)Abstract
We construct a model complete and o-minimal expansion R(2) of the field of real numbers such that, for any planar analytic vector field xi and any isolated, non-resonant hyperbolic singularity p of xi, a transition map for xi at p is definable in R(2). This expansion also defines all convergent generalized power series with natural support and is polynomially bounded.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SERIES; FIELD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Sep 2020 09:29 |
| Last Modified: | 02 Sep 2020 09:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28200 |
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