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Search: MSC category 32B20 ( Semi-analytic sets and subanalytic sets [See also 14P15] )

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1. CMB 2000 (vol 43 pp. 47)

 A Property of Lie Group Orbits Let $G$ be a real Lie group and $X$ a real analytic manifold. Suppose that $G$ acts analytically on $X$ with finitely many orbits. Then the orbits are subanalytic in $X$. As a consequence we show that the micro-support of a $G$-equivariant sheaf on $X$ is contained in the conormal variety of the $G$-action. Categories:32B20, 22E15