Real Algebraic and Analytic Geometry

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270. Tomohiro kawakami:
Locally definable $C^\infty G$ manifold structures of locally definable $C^r G$ manifolds.


Submission: 2009, February 19.

Let G be a finite abelian group. We consider raising differentiability of locally equivariant definable manifolds.

Mathematics Subject Classification (2000): 14P10, 14P20, 57S05, 57S15, 58A05, 58A07, 03C64.

Keywords and Phrases: O-minimal, locally definable $C^{\infty} G$ manifolds, locally definable $C^r G$ manifolds, definable $C^r G$ manifolds, finite groups, exponential.

Full text, 7p.: dvi 47k, ps.gz 107k, pdf 133k.

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