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Bulletin of the Faculty of Education, Wakayama University. Natural science 68 1
2018-01-31 発行

Definable Cr fiber bundle structures of a definable fiber bundle

デファイナブルファイバー束のデファイナブルCrファイバー束構造について
KAWAKAMI, Tomohiro Faculty of Education 和歌山大学研究者総覧 researchmap
FullText File
AN00257977.68(1).1.pdf 153 KB
DOI
10.19002/AN00257977.68(1).1
About This Article
Language
eng
Start Page
1
End Page
6
Keywords Alternative
O-minimal
definable groups
definable Cr groups
definable fiber bundles
definable Cr fiber bundles
definable G vector bundles
definable CrG vector bundles
Abstract Alternative
Let G and K be definably compact subgroups of orthogonal groups and 0 ≦ r < ∞. We prove that every definable fiber bundle over an affine definable Cr manifold whose structure group is K admits a unique strongly definable Cr fiber bundle structure up to definable Cr fiber bundle isomorphism.
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AN00257977.68(1).1.pdf 153 KB
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