Rₑxpの順序極小拡張上の有限アーベル群作用をもったデファイナブルC^∞多様体の相対性質について

Key Points

• This research aims to explore the relative properties of definable C^∞ manifolds under finite abelian group actions.
• Utilized o-minimal expansions of R exp to study cell decomposition.
• Proved a relative collaring theorem for definable structures.
• Demonstrated that every definable structure behaves consistently under the given conditions.
• Established new theoretical insights regarding the interaction between finite groups and manifold properties.