K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds

• Autorzy: Rahim Moosa , Sergei Starchenko
• Języki publikacji: EN

Abstrakty

EN

It is shown that in an elementary extension of a compact complex manifold M, the K-analytic sets (where K is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if M is essentially saturated. In particular, this is the case for compact Kähler manifolds.

Kategorie tematyczne

• 03C98: Applications of model theory
• 32J27: Compact K\"ahler manifolds: generalizations, classification
• 03C64: Model theory of ordered structures; o-minimality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 2
• Strony: 139-148

Daty

wydano

2008

Twórcy

autor

Rahim Moosa

• Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1

autor

Sergei Starchenko

• Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556-4618, U.S.A.

Identyfikatory

DOI

10.4064/fm198-2-4