Separately regular and separately Nash functions
Juliusz Banecki
TL;DR
This paper strengthens existing results by unifying the understanding of separately regular and separately Nash functions, showing their rationality and semialgebraic nature respectively, through a common approach.
Contribution
It introduces a unified approach that highlights the similarities between separately regular and separately Nash functions, strengthening their known properties.
Findings
Separately regular functions are rational.
Separately Nash functions are semialgebraic.
Unified approach highlights similarities between the two classes.
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.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Mathematical and Theoretical Analysis · Rings, Modules, and Algebras