Single Exponential Path Finding in Semi-algebraic Sets, Part II: The General Case

Joos Heintz, Marie-Francoise Roy and Pablo Solerno

Chapter 28 in Algebraic Geometry and its Applications, 1994, pp 449-465 from Springer

Abstract: Abstract This paper is devoted to the following result. Let S be a semi-algebraic subset of R n ; one can decide in single exponential time whether two points of S belong to the same semi-algebraically connected component of S, and if they do, one can find a semi-algebraic path connecting them. This paper is the sequel to [HRS 4] in which the result is proved in the particular but fundamental case of a bounded regular hypersurface.

Keywords: Quantifier Elimination; Algebraic Hypersurface; Real Closed Field; Puiseux Series; Quantifier Free Formula (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-2628-4_28

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