EVERY DEFINABLE Cr MANIFOLD IS AFFINE

Title & Authors
EVERY DEFINABLE Cr MANIFOLD IS AFFINE
KAWAKAMI, TOMOHIRO;

Abstract
Let M
Keywords
definable C$\small{^r}$ manifolds;o-minimal;affine;
Language
English
Cited by
1.
DEFINABLE Cr FIBER BUNDLES AND DEFINABLE CrG VECTOR BUNDLES,;

대한수학회논문집, 2008. vol.23. 2, pp.257-268
1.
Smooth functions in o-minimal structures, Advances in Mathematics, 2008, 218, 2, 496
References
1.
L. van den Dries, Tame topology and a-minimal structures, London Math. Soc. Lecture Note Ser. 248 (1998)

2.
L. van den Dries and C. Miller, Geometric categories and o-minimal structures, Duke Math. J. 84 (1996), 497-540

3.
M. W. Hirsch, Differential manifolds, Springer, 1976

4.
T. Kawakami, Affineness of definable \$C^r\$ manifolds and its applications, Bull. Korean Math. Soc. 40, 149-157

5.
T. Kawakami, Equivariant differential topology in an o-minimal expansion of the field of real numbers, Topology Appl, 123 (2002), 323-349

6.
T. Kawakami, Imbedding of manifolds defined on an a-minimal structures on (R, +, ., <), Bull. Korean Math. Soc. 36 (1999), 183-201

7.
M. Shiota, Abstract Nash manifolds, Proc. Amer. Math. Soc. 96 (1986), 155-162

8.
M. Shiota, Geometry of subanalyitc and semialgebraic sets, Progr. Math. 150 (1997)

9.
A. G. Wasserman, Equivariant differential topology, Topology 8 (1969), 127-150