3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AG2007
Algorithmic and topological aspects of semi-algebraic sets defined by quadratic polynomial
Michael Kettner
In this thesis, we consider semi-algebraic sets over a real closed field defined by quadratic polynomials. Semi-algebraic sets of are defined as the smallest family of se…
math.AG2007★ 3 cited
Bounding the number of stable homotopy types of a parametrized family of semi-algebraic sets defined by quadratic inequalities
Saugata Basu, Michael Kettner
We prove a nearly optimal bound on the number of stable homotopy types occurring in a k-parameter semi-algebraic family of sets in , each defined in terms of m quadratic i…
math.AG2006
A sharper estimate on the Betti numbers of sets defined by quadratic inequalities
Saugata Basu, Michael Kettner
In this paper we consider the problem of bounding the Betti numbers, , of a semi-algebraic set defined by polynomial inequalities $P_1 \geq 0,...,P_s \geq…