Equivariant definable triangulations of definable G sets

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  • デファイナブルG集合の同変デファイナブル三角形分割について

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Let G be a finite group. We prove that every definable G set in a representation Ω of G admits an equivariant definable triangulation (L, φ) such that for each open simplex int (△) of L, φ(int(△)) is a locally closed definable C^γsubmanifold of Ω and that it induces a definable triangulation of X

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