A+ CATEGORY SCIENTIFIC UNIT

Separately regular and separately Nash functions

Juliusz Banecki Annales Polonici Mathematici MSC: Primary 14A99; Secondary 14P20 DOI: 10.4064/ap241009-5-3 Published online: 17 June 2025

Abstract

We strengthen certain known results saying that separately regular functions are rational and separately Nash functions are semialgebraic. The approach presented here unifies and highlights the similarities between the two problems.

Authors

  • Juliusz BaneckiFaculty of Mathematics and Computer Science
    Jagiellonian University
    30-348 Kraków, Poland
    e-mail

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