Some quantitative results in real algebraic geometry
Abstract
Real algebraic geometry is the study of semi-algebraic sets, subsets of Rk defined by boolean combinations of polynomial equalities and inequalities. The focus of this thesis is to study quantitative results in real algebraic geometry, primarily upper bounds on the topological complexity of semi-algebraic sets as measured, for example, by their Betti numbers.
Degree
Ph.D.
Advisors
Basu, Purdue University.
Subject Area
Mathematics
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