Topological Elementary Equivalence of Closed Semi-Algebraic Sets in the Real Plane
Kuijpers, Bart ; Paredaens, Jan ; Bussche, Jan Van Den
J. Symbolic Logic, Tome 65 (2000) no. 1, p. 1530-1555 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2000-12-14
Classification:  
@article{1183746251,
     author = {Kuijpers, Bart and Paredaens, Jan and Bussche, Jan Van Den},
     title = {Topological Elementary Equivalence of Closed Semi-Algebraic Sets in the Real Plane},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 1530-1555},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746251}
}

Kuijpers, Bart; Paredaens, Jan; Bussche, Jan Van Den. Topological Elementary Equivalence of Closed Semi-Algebraic Sets in the Real Plane. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  1530-1555. http://gdmltest.u-ga.fr/item/1183746251/