Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1269

Preprint Number 1269

Previous Next Preprint server

1269. Tomohiro Kawakami
Definable C^r fiber bundle structures of a definable fiber bundle

Submission date: 18 July 2017


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 C^r manifold whose structure group is K admits a unique strongly definable C^r fiber bundle structure up to definable C^r fiber bundle isomorphism.

Mathematics Subject Classification: MSC 2010 14P10, 14P20, 57S10, 57S15, 58A05, 58A07, 03C64.

Keywords and phrases: O-minimal, definable groups, definable C^r groups, definable fiber bundles, definable C^r fiber bundles, definable G vector bundles, definable C^r G vector bundles.

Full text: pdf, dvi, ps.

Last updated: August 4 2017 12:10 Please send your corrections to: