Separately regular and separately Nash functions

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

Institutions

Publication Details

Journal
Annales Polonici Mathematici
Published
2025-01-01
DOI
https://doi.org/10.4064/ap241009-5-3
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Separately regular and separately Nash functions

Juliusz Banecki
Annales Polonici Mathematici
Advanced Topology and Set Theory
article

Separately regular and separately Nash functions

Juliusz Banecki
article en

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.

Annales Polonici Mathematici
Jagiellonian University (PL)
Openalex Percentile: Top 81%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Separately regular and separately Nash functions — Juliusz Banecki · Annales Polonici Mathematici (2025) | TGRS Research Map | TGRS