Formally real fields, pythagorean fields, C-fields and W-groups.
Ján Minác, Michel Spira (1990)
Mathematische Zeitschrift
J. Cowles (1981)
Fundamenta Mathematicae
Detlef Gröger (1987)
Monatshefte für Mathematik
E. Becker, R. Berr, F. Delon, D. Gondard (1994)
Journal für die reine und angewandte Mathematik
J. Esterle (1979)
Studia Mathematica
D. W. Dubois (1970)
Perović, Ž. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
Stojanović, Jadran, Perović, Žikica (1997)
Publications de l'Institut Mathématique. Nouvelle Série
Ali Benhissi (1995)
Annales mathématiques Blaise Pascal
R. Spigler (1980)
Rendiconti del Seminario Matematico della Università di Padova
Marie-Françoise Coste, Michel Coste (1980)
Publications mathématiques et informatique de Rennes
Paulo Ribenboim (1970/1971)
Séminaire Dubreil. Algèbre et théorie des nombres
Alexander Prestel (1984)
Mémoires de la Société Mathématique de France
Alling, Norman L., Swartz, Timothy A. (1990)
Portugaliae mathematica
Wolfram Schwabhäuser (1979)
Fundamenta Mathematicae
Bernd Dahn, Peter Göring (1987)
Fundamenta Mathematicae
Serban A. Basarab (1982)
Manuscripta mathematica
Tobias Kaiser (2005)
Annales Polonici Mathematici
We define a notion of volume for sets definable in an o-minimal structure on an archimedean real closed field. We show that given a parametric family of continuous functions on the positive cone of an archimedean real closed field definable in an o-minimal structure, the set of parameters where the integral of the function converges is definable in the same structure.
Bernhard Heinemann (1985)
Manuscripta mathematica
Tibor Šalát (1994)
Mathematica Slovaca