Abstract
In this paper we consider the problem of bounding the Betti numbers, b i (S), of a semi-algebraic set S ⊂ ℝk defined by polynomial inequalities P 1 ≥ 0, . . ., Ps ≥ 0, where P i ∈ ℝ[X1, . . . , Xk], s
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Basu, S., & Kettner, M. (2008). A sharper estimate on the Betti numbers of sets defined by quadratic inequalities. Discrete and Computational Geometry, 39(4), 734–746. https://doi.org/10.1007/s00454-007-9001-6
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