O-minimal structures

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Beyarslan, Özlem.
dc.contributor.author	Pehlivan, Cihan.
dc.date.accessioned	2023-03-16T11:21:37Z
dc.date.available	2023-03-16T11:21:37Z
dc.date.issued	2011.
dc.description.abstract	IfMis a o-minimal expansion of ordered eld of reals which contains a de nable function which can not dominated by polynomials, then exponential function appears as a de nable function. In this study rstly we introduce notions from model theory and o-minimality, then we see de nable functions in o-minimal structure forms a Hardy eld and we put valuation on Hardy eld. By the help of valuation we can show exponential function is de nable in a o-minimal expansion of ordered eld of reals which is not polynomially bounded.
dc.format.extent	30cm.
dc.format.pages	vi, 36 leaves ;
dc.identifier.other	MATH 2011 P44
dc.identifier.uri	https://hdl.handle.net/20.500.14908/15255
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2011.
dc.subject.lcsh	Ordered algebraic structures.
dc.subject.lcsh	Mathematics.
dc.title	O-minimal structures

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