ID | 1464 |
FullText File | |
Title Alternative | Definable C^r groups and proper definable actions
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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 | 58
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Start Page | 9
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End Page | 18
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Order | 04
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Published Date | 2008-02-29
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Language |
eng
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Keywords Alternative | Definable groups
definable C^r groups
o-minimal
definable C^r fiber bundles
definable G sets
definable slices
proper
definable G imbeddings
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Abstract Alternative | Let M=(R,+,・,<,...) be an o-minimal expansion of the standard structure R=(R,+,・,<) of the field of real numbers. Let G be a definable C^r group and H a definable C^r subgroup of G. We prove that if M. admits the C^ω (resp. C^∞) cell decomposition or 0 ≤ r < ∞, then the orbit map π : G → G
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Content Type |
Departmental Bulletin Paper
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Text Version |
publisher
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Accession No. | KJ00005091753
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