## Abstract

Let X be a semialgebraic set in R-n defined by a Boolean combination of atomic formulae of the kind h * 0 where * is an element of { >, greater than or equal to, = }, deg(h) < d, and the number of distinct polynomials h is k. We prove that the sum of Betti numbers of X is less than O(k(2)d)(n).

Original language | English |
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Pages (from-to) | 395-401 |

Number of pages | 7 |

Journal | Discrete & Computational Geometry |

Volume | 33 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2005 |