Separately regular and separately Nash functions

2024/06/15 by Banecki, Juliusz
#14A99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.10654

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.

Related

• Separately Nash and arc‐Nash functions over real closed fields
• Nash regulous functions
• Approximation on Nash sets with monomial singularities
• On finiteness theorems of polynomial functions
• Schwartz functions on quasi-Nash varieties