同慶デファイナブルCド近似定理とG不変デファイナブルCド関数の同慶デファイナブルC帽明性
Permalink : https://repository.center.wakayama-u.ac.jp/1431
| ID | 1431 |
| FullText File | |
| Title Alternative | EQUIVARIANT DEFINABLE C^r APPROXIMATION THEOREM, DEFINABLE C^rG TRIVIALITY OF G INVARIANT DEFINABLE C^r FUNCTIONS AND COMPACTIFICATIONS
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| Authors | |
| Self DOI | |
| Journal Title |
Bulletin of the Faculty of Education, Wakayama University. Natural science
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| ISSN | 13424645
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| NCID | AN00257977
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| Volume | 55
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| Start Page | 23
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| End Page | 36
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| Order | 07
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| Published Date | 2005-02-28
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| Language |
eng
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| Abstract Alternative | 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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| Content Type |
Departmental Bulletin Paper
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| Text Version |
publisher
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| Accession No. | KJ00004292660
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