局所デファイナブルC^rG多様体の局所デファイナブルC^sG多様体構造について

ID	1438
FullText File	KJ00004438609.pdf 1.17 MB
Title Alternative	LOCALLY DEFINABLE C^sG MANIFOLD STRUCTURES OF LOCALLY DEFINABLE C^rG MANIFOLDS
Authors	KAWAKAMI, Tomohiro Faculty of Education 和歌山大学研究者総覧 researchmap
Self DOI	10.19002/AN00257977.56.1
Journal Title	Bulletin of the Faculty of Education, Wakayama University. Natural science
ISSN	13424645
NCID	AN00257977
Volume	56
Start Page	1
End Page	12
Order	03
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≤γ≤ω) manifolds as generalizations of definable C^γG manifolds (1≤γ≤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