Classification of Nash manifolds

DOI10.5802/aif.937zbMath0495.58001OpenAlexW2013816607MaRDI QIDQ1169729

Masahiro Shiota

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_3_209_0

zbMATH Keywords

Euclidean spaceNash manifoldsNash mapNash diffeomorphicsemi-algebraic analytic manifold

Mathematics Subject Classification ID

Differential topology (57R99) Real-analytic and Nash manifolds (58A07) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

Modified Nash triviality of a family of zero-sets of weighted homogeneous polynomial mappings, Triangulations of Subanalytic Sets and Locally Subanalytic Manifolds, On Schwartz equivalence of quasidiscs and other planar domains, Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up, A remark on $\mathscr C^\infty $ definable equivalence, On smooth locally o-minimal functions, Abstract Nash Manifolds, Equivariant differential topology in an o-minimal expansion of the field of real numbers, Approximation Theorems for Nash Mappings and Nash Manifolds, Tempered distributions and Schwartz functions on definable manifolds, Modified Nash triviality of a family of zero-sets of real polynomial mappings

Cites Work

• Two complexes which are homeomorphic but combinatorially distinct
• Equivalence of differentiable mappings and analytic mappings
• Equivalence of differentiable functions, rational functions and polynomials
• On the unique factorization property of the ring of Nash functions
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
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