Search: MSC category 32C07
( Real-analytic sets, complex Nash functions [See also 14P15, 14P20] )
1. CJM 2012 (vol 65 pp. 721)
||Tameness of Complex Dimension in a Real Analytic Set|
Given a real analytic set $X$ in a complex manifold and a positive
integer $d$, denote by $\mathcal A^d$ 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 $\mathcal A^d$ is a closed semianalytic subset of $X$.
Keywords:complex dimension, finite type, semianalytic set, tameness
Categories:32B10, 32B20, 32C07, 32C25, 32V15, 32V40, 14P15