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http://dx.doi.org/10.4134/CKMS.2008.23.2.257

DEFINABLE Cr FIBER BUNDLES AND DEFINABLE CrG VECTOR BUNDLES  

Kawakami, Tomohiro (Department of Mathematics Faculty of Education Wakayama University)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.2, 2008 , pp. 257-268 More about this Journal
Abstract
Let G and K be compact subgroups of orthogonal groups and $0{\leq}r<x<{\infty}$. We prove that every topological fiber bundle over a 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. We prove that every G vector bundle over an affine definable $C^rG$ manifold admits a unique strongly definable $C^rG$ vector bundle structure up to definable $C^rG$ vector bundle isomorphism.
Keywords
O-minimal; definable groups; definable $C^r$ groups; definable fiber bundles; definablp $C^r$ fiber bundles; definable G vector bundles; definable $C^rG$ vector bundles;
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Times Cited By KSCI : 1  (Citation Analysis)
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연도 인용수 순위
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