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

@article{RahimMoosa2008,
abstract = {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.},
author = {Rahim Moosa, Sergei Starchenko},
journal = {Fundamenta Mathematicae},
keywords = {-analytic set; ccm-analytic set; nonstandard complex manifold},
language = {eng},
number = {2},
pages = {139-148},
title = {K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds},
url = {http://eudml.org/doc/283221},
volume = {198},
year = {2008},
}

TY - JOUR
AU - Rahim Moosa
AU - Sergei Starchenko
TI - K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds
JO - Fundamenta Mathematicae
PY - 2008
VL - 198
IS - 2
SP - 139
EP - 148
AB - 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.
LA - eng
KW - -analytic set; ccm-analytic set; nonstandard complex manifold
UR - http://eudml.org/doc/283221
ER -