ID | 1431 |
フルテキストファイル | |
その他のタイトル(欧) | EQUIVARIANT DEFINABLE C^r APPROXIMATION THEOREM, DEFINABLE C^rG TRIVIALITY OF G INVARIANT DEFINABLE C^r FUNCTIONS AND COMPACTIFICATIONS
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作成者 | |
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掲載誌名 |
和歌山大学教育学部紀要. 自然科学
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ISSN | 13424645
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NCID | AN00257977
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巻 | 55
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開始ページ | 23
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終了ページ | 36
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並び順 | 07
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発行日 | 2005-02-28
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本文言語 |
英語
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抄録(欧) | Let G be a compact subgroup of GLn(R) and 0 ≤ s < r < ∞. We prove that every definable C^SG map between affine definable C^rG manifolds is approximated in the definable C^s topology by definable C^rG maps. We show that each G invariant proper submersive surjective definable C^r function defined on an affine definable C^rG manifold is definably C^rG trivial. Moreover we prove that every noncompact affine definable C^rG manifold admits a unique affine definable CrG compactification up to definable CTG diffeomorphism when r ≥ 2.
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紀要論文
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出版者版
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アクセション番号 | KJ00004292660
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