Tameness of complex dimension in a real analytic set
arXiv:1006.4190 · doi:10.4153/CJM-2012-019-4
Abstract
Given a real analytic set X in a complex manifold and a positive integer d, denote by A(d) the set of points p in X at which there exists a germ of a complex analytic set of dimension d contained in X. It is proved that A(d) is a closed semianalytic subset of X.
Published version