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Given a differentiable action of a compact Lie group G on a
compact smooth manifold V , there exists [3] a closed embedding of V into
a finite-dimensional real vector space E so that the action of G on V may
be extended to a differentiable linear action (a linear representation) of G
on E. We prove an analogous equivariant embedding theorem for compact
differentiable spaces (∞-standard in the sense of [6, 7, 8]).
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