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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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- Research Article
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- Copyright © Canadian Mathematical Society 2013
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