Arc-meromorphous functions

DOI10.4064/ap200517-7-8zbMath1479.14073OpenAlexW3091396508MaRDI QIDQ5028960

Krzysztof Kurdyka, Wojciech Kucharz

Publication date: 11 February 2022

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap200517-7-8

zbMATH Keywords

semialgebraic setsemialgebraic functionarc-analytic functionarc-meromorphous functionarc-meromorphous sheaf

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Germs of analytic sets, local parametrization (32B10) Real-analytic and Nash manifolds (58A07) Nash functions and manifolds (14P20)

Cites Work

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• Regulous functions
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• Arc-analytic functions
• Nash manifolds
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• Extensions of arc-analytic functions
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• On the cohomology of Nash sheaves
• On the non-analyticity locus of an arc-analytic function
• A Function which is Arc-Analytic but not Continuous
• A counterexample to subanalyticity of an arc-analytic function
• An arc-analytic function with nondiscrete singular set
• On solutions of linear equations with polynomial coefficients
• Nash regulous functions
• On continuous rational functions
• FROM CONTINUOUS RATIONAL TO REGULOUS FUNCTIONS

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