The Roman ideal

Abstract The aim of this paper is to demonstrate the existence of a proper ideal on the Cantor space that contains three well-known ideals. Our construction is based on specific operations that can be considered as tools for generating new sets. Additionally, we examine several properties of the sets produced in this way.

Authors

Institutions

Publication Details

Journal
Georgian Mathematical Journal
Published
2025-12-27
DOI
https://doi.org/10.1515/gmj-2025-2094
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Roman ideal

Andrzej Marek Nowik, Paweł Klinga, Anna Wąsik
Georgian Mathematical Journal
Advanced Banach Space Theory
article

The Roman ideal

Andrzej Marek Nowik, Paweł Klinga, Anna Wąsik
article en

Abstract

Abstract The aim of this paper is to demonstrate the existence of a proper ideal on the Cantor space that contains three well-known ideals. Our construction is based on specific operations that can be considered as tools for generating new sets. Additionally, we examine several properties of the sets produced in this way.

Georgian Mathematical Journal
University of Gdańsk (PL)
Sustainable cities and communities
Openalex Percentile: Top 21%
Advanced Banach Space Theory
DOISourceOpenAlex
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.

The Roman ideal — Andrzej Marek Nowik, Paweł Klinga, et al. · Georgian Mathematical Journal (2025) | TGRS Research Map | TGRS