ID 3271
FullText File
Title Alternative
Definable Cr fiber bundle structures of a definable fiber bundle
Authors
DOI
Journal Title
Bulletin of the Faculty of Education, Wakayama University. Natural science
ISSN
13424645
NCID
AN00257977
Volume
68
Issue
1
Start Page
1
End Page
6
Published Date
2018-01-31
Language
eng
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.
Content Type
Departmental Bulletin Paper
Text Version
publisher