ID 1438
FullText File
Title Alternative
LOCALLY DEFINABLE C^sG MANIFOLD STRUCTURES OF LOCALLY DEFINABLE C^rG MANIFOLDS
Authors
DOI
Journal Title
Bulletin of the Faculty of Education, Wakayama University. Natural science
ISSN
13424645
NCID
AN00257977
Volume
56
Start Page
1
End Page
12
Published Date
2006-02-28
Language
eng
Keywords Alternative
Locally definable C^rG manifolds
definable C^rG manifolds
o-minimal
finite groups
Abstract Alternative
Let G be a finite group. We define locally definable C^γG (1&le;γ&le;ω) manifolds as generalizations of definable C^γG manifolds (1&le;γ&le;ω). Let 0<γ<s<∞. We prove that every affine locally definable C^γG manifold is locally definably C^γG diffeomorphic to a locally definable C^SG manifold. Moreover we prove that for any two affine locally definable C^γG manifolds, they are C^1G diffeomorphic if and only if they are locally definable C^γG diffeomorphic.
Content Type
Departmental Bulletin Paper
Text Version
publisher
Accession No.
KJ00004438609