和歌山大学教育学部紀要. 自然科学 56
2006-02-28 発行

局所デファイナブルC^rG多様体の局所デファイナブルC^sG多様体構造について

LOCALLY DEFINABLE C^sG MANIFOLD STRUCTURES OF LOCALLY DEFINABLE C^rG MANIFOLDS
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英語
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1
終了ページ
12
キーワード(欧)
Locally definable C^rG manifolds
definable C^rG manifolds
o-minimal
finite groups
抄録(欧)
Let G be a finite group. We define locally definable C^γG (1&le;γ&le;ω) manifolds as generalizations of definable C^γG manifolds (1&le;γ&le;ω). Let 0<γ<s<∞. We prove that every affine locally definable C^γG manifold is locally definably C^γG diffeomorphic to a locally definable C^SG manifold. Moreover we prove that for any two affine locally definable C^γG manifolds, they are C^1G diffeomorphic if and only if they are locally definable C^γG diffeomorphic.
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