On the Topological Complexity of Infinitary Rational Relations

Issue		RAIRO-Theor. Inf. Appl. Volume 37, Number 2, April-June 2003


Page(s)		105 - 113
DOI		10.1051/ita:2003016

Theoret. Informatics Appl. 37, 105-113 (2003)
DOI: 10.1051/ita:2003016

On the Topological Complexity of Infinitary Rational Relations

Olivier Finkel

Équipe de Logique Mathématique, U.F.R. de Mathématiques, Université Paris-7, 2 place Jussieu, 75251 Paris Cedex 05, France; finkel@logique.jussieu.fr.

(Received October, 2002. Accepted May, 2003.)

Abstract
We prove in this paper that there exists some infinitary rational relations which are analytic but non Borel sets, giving an answer to a question of Simonnet [20].

Mathematics Subject Classification. 68Q45, 03D05, 03D55, 03E15

Key words: Infinitary rational relations -- topological properties -- Borel and analytic sets.

© EDP Sciences 2003

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