Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2010, Vol. 27 ›› Issue (6): 838-846.DOI: 10.7523/j.issn.2095-6134.2010.6.016

• Research Articles • Previous Articles     Next Articles

A co-homology method for computing compact semi-algebraic sets

GAO Ben, CHEN Yu-Fu, ZHANG Zhi-Yong   

  1. School of Mathematical Sciences,Graduate University,Chinese Academy of Sciences,Beijing 100049,China
  • Received:2009-09-18 Online:2010-11-15

Abstract:

We describe an algorithm for computing the zero-th and first Betti numbers of the union of compact semi-algebraic sets.The complexity of the algorithm is single exponential.

Key words: co-homology group, compact semi-algebraic set, arrangement, cylindrical algebraic decomposition, cell adjacency

CLC Number: