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Frontier and Closure of a Semi-Pfaffian Set

A. Gabrielov1

(1)  Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA agabriel@math.purdue.edu, US
Abstract.    For a semi-Pfaffian set, i.e., a real semianalytic set defined by equations and inequalities between Pfaffian functions in an open domain G , the frontier and closure in G are represented as semi-Pfaffian sets. The complexity of this representation is estimated in terms of the complexity of the original set.
Received April 2, 1996.

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  1. Zell, Thierry (2008) Topological Complexity of the Relative Closure of a Semi-Pfaffian Couple. Discrete & Computational Geometry
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