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Tameness of Complex Dimension in a Real Analytic Set
Published online by Cambridge University Press: 20 November 2018
Abstract
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 $X$.
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- Copyright © Canadian Mathematical Society 2013
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