On convergence of integrals in o-minimal structures on archimedean real closed fields

• Autorzy: Tobias Kaiser
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12J15: Ordered fields
• 28B15: Set functions, measures and integrals with values in ordered spaces
• 03C64: Model theory of ordered structures; o-minimality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 87
• Numer: 1
• Strony: 175-192

Daty

wydano

2005

Twórcy

autor

Tobias Kaiser

• Department of Mathematics, University of Regensburg, Universitätsstr. 31, D-93040 Regensburg, Germany

Identyfikatory

DOI

10.4064/ap87-0-14