The modified analytic trivialization of singularities

DOI10.2969/jmsj/03240605zbMath0509.58007OpenAlexW2058987369MaRDI QIDQ5970538

Tzee-Char Kuo

Publication date: 1980

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03240605

zbMATH Keywords

classification of singularitiesbianalytic mapinitial formmodified analytic twisting

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Theory of singularities and catastrophe theory (58K99) Local complex singularities (32S05) Differentiable maps on manifolds (58C25)

Related Items (15)

Motivic-type invariants of blow-analytic equivalence. ⋮ Infinitesimal actions of \(\mathbf {R}^2\) around isolated fixed points in the plane ⋮ Almost analytic local algebraicity of analytic sets and functions ⋮ The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms ⋮ Stability of Newton Boundaries of a Family of Real Analytic Singularities ⋮ Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up ⋮ Equivalence relations for two variable real analytic function germs ⋮ Blow-analytic equivalence of two variable real analytic function germs ⋮ The modified analytic trivialization of family of real analytic functions ⋮ Constructing blow-analytic isomorphisms ⋮ Implicit function theorem for locally blow-analytic functions ⋮ Modified Nash triviality of a family of zero-sets of real polynomial mappings ⋮ AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES ⋮ Invariants associated with blow-analytic homeomorphisms ⋮ On classification of real singularities

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