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A co-homology method for computing compact semi-algebraic sets
计算紧半代数集的同调方法

Keywords: co-homology group,compact semi-algebraic set,arrangement,cylindrical algebraic decomposition,cell adjacency
单纯上同调群
,紧半代数集,排列,柱代数分解,胞腔相邻

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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.

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