Equivalence relations for two variable real analytic function germs

DOI10.2969/jmsj/06510237zbMath1266.32009arXiv0801.2650OpenAlexW2086741210MaRDI QIDQ1946856

Adam Parusiński, Satoshi Koike

Publication date: 9 April 2013

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

Full work available at URL: https://arxiv.org/abs/0801.2650

zbMATH Keywords

blow-analytic equivalencebi-Lipschitz equivalencegerms of real analytic functions\(C^1\) equivalence

Mathematics Subject Classification ID

Real-analytic functions (26E05) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

On the blow-analytic equivalence of tribranched plane curves ⋮ Old and New Results on Density of Stable Mappings ⋮ Basics on Lipschitz geometry ⋮ Decompositions of the higher order polars of plane branches ⋮ Blow-analytic equivalence of two variable real analytic function germs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On classification of real singularities
• Real analytic germs and their varieties at isolated singularities
• On analytic function germs of two complex variables
• On strong \(C^ 0\)-equivalence of real analytic functions
• Modified analytic trivialization for weighted homogeneous function-germs
• Motivic-type invariants of blow-analytic equivalence.
• The modified analytic trivialization of family of real analytic functions
• A criterion for topological equivalence of two variable complex analytic function germs
• On the solutions of analytic equations
• On \(C^0\)-sufficiency of jets of potential functions
• A note on sufficiency of jets
• Blow-analytic equivalence of two variable real analytic function germs
• Bilipschitz Invariance of the Multiplicity
• Arc-analytic roots of analytic functions are Lipschitz
• On the Topology of Algebroid Singularities
• Motivic invariants of arc-symmetric sets and blow-Nash equivalence
• BILIPSCHITZ DETERMINACY OF QUASIHOMOGENEOUS GERMS Research partially supported by CNPq, Brazil, grant 14049900-8. Research partially supported by CNPq, Brazil, grant 30006688-0, and by FAPESP, Brazil, grant 9710735-3.
• The modified analytic trivialization of singularities

This page was built for publication: Equivalence relations for two variable real analytic function germs