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|Title:||Quasianalytic Ilyashenko Algebras|
|Department:||Mathematics and Statistics|
|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.|
|Appears in Collections:||Open Access Dissertations and Theses|
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|Galal_Zeinab_201607_MSc.pdf||Quasianalytic Ilyashenko Algebras||506.18 kB||Adobe PDF||View/Open|
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