Work

Some properties of the ideal of nowhere dense sets in the common division topology

Year: 2024

Type: article

Abstract: We consider the ideal of nowhere dense sets in the common division topology (Szyszkowska’s ideal), and examine some of its basic properties. We also explore the possible inclusions between the studied ideal and Furstenberg’s and Rizza’s ideals, thus answering open questions posed in a recent article by A. Nowik and P. Szyszkowska [17]. Moreover, we discuss the relationships of the Szyszkowska’s ideal with selected well-known ideals playing an important role in number theory and combinatorics.

Source: Acta Mathematica Academiae Scientiarum Hungaricae

DOI: 10.1007/s10474-024-01481-4

Author: M. Kwela

Institution: University of Gdańsk

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4404222782

FWCI: 1.346

Cites: 23

Cited by: 2

Related to: 10