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http://hdl.handle.net/11375/20117| Title: | Quasianalytic Ilyashenko Algebras |
| Authors: | Galal, Zeinab |
| Advisor: | Speissegger, Patrick |
| Department: | Mathematics and Statistics |
| Publication Date: | 2016 |
| Abstract: | A recent result was the construction of a quasianalytic class containing all transition maps at hyperbolic singularities with logarithmic monomials in their series expansions. The end goal being obtaining o-minimality of this structure, we need an extension to several variables stable under certain operations (such as blow-up substitutions). As a first step towards the several variable extension, we construct a quasianalytic Hardy field extending the previous class where the monomials are now allowed to be any definable function in R_an,exp. |
| URI: | http://hdl.handle.net/11375/20117 |
| Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Galal_Zeinab_201607_MSc.pdf | Quasianalytic Ilyashenko Algebras | 506.18 kB | Adobe PDF | View/Open |
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