Dynamical ideals and the axiom of choice

Abstract I provide several natural properties of group actions which translate into fragments of axiom of choice in the associated permutation models of choiceless set theory.

Authors

Jindřich Zapletal (ORCID: https://orcid.org/0000-0003-3437-5073)

Institutions

University of Florida (US)

Publication Details

Journal: Canadian Journal of Mathematics
Published: 2026-02-09
DOI: https://doi.org/10.4153/s0008414x26102053
Primary Topic: Advanced Topology and Set Theory
Type: article
Field-Weighted Citation Impact: 0.00

Funders

National Science Foundation

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Dynamical ideals and the axiom of choice

Jindřich Zapletal

Feb 9, 2026

Canadian Journal of Mathematics

Advanced Topology and Set Theory

article

Dynamical ideals and the axiom of choice

Jindřich Zapletal

February 9, 2026article en

Abstract

Abstract I provide several natural properties of group actions which translate into fragments of axiom of choice in the associated permutation models of choiceless set theory.

Canadian Journal of Mathematics

University of Florida (US)

National Science Foundation

Openalex Percentile: Top 56%

Advanced Topology and Set Theory

DOI Open Access PDF OpenAlex

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.

Dynamical ideals and the axiom of choice — Jindřich Zapletal · Canadian Journal of Mathematics (2026) | TGRS Research Map | TGRS