Randomized trial analyzes G-invariant compact properties in definable C^r groups, suggesting new insights into topological structures.
Let G be a definably compact definable C r group and 1 ≤ r < ∞.Let X be a definable C r G submanifold of a representation of G and Y a definable C r submanifold of R n .We prove that every G invariant surjective submersive definable C
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Tomohiro KAWAKAMI (2013) studied this question.
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