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|Title:||Topological Elementary Equivalence of Closed Semi-Algebraic Sets in The Real Plane.||Authors:||KUIJPERS, Bart
VAN DEN BUSSCHE, Jan
|Issue Date:||2000||Publisher:||ASSN SYMBOLIC LOGIC INC||Source:||The Journal of Symbolic Logic, 65(4). p. 1530-1555||Abstract:||We investigate topological properties of subsets S of the real plane, expressed by first-order logic sentences in the language of the reals augmented with a binary relation symbol for S. Two sets are called topologically elementary equivalent if they have the same such first-order topological properties. The contribution of this paper is a natural and effective characterization of topological elementary equivalence of closed semi-algebraic sets.||Document URI:||http://hdl.handle.net/1942/638||ISI #:||000166605500005||Category:||A1||Type:||Journal Contribution||Validations:||ecoom 2002|
|Appears in Collections:||Research publications|
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