σ-Porosity of Certain Ideals

2025/12/08 by Klinga, Paweł, Nowik, Andrzej, Wąsik, Anna
Decision Sciences · Mathematics · #03E15 #40A05 #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #Logic (math.LO) #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.2512.07711

openalex publication_date 2025/12/08 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28

Abstract

We investigate the σ-porosity of certain known ideals of subsets of natural numbers. Porosity is a notion of smallness in metric spaces that is stronger than nowhere density. Analogously, σ-porosity is a strengthening of meagerness. In this paper, we verify which ideals are σ-porous.

Citations

• Thick, syndetic, and piecewise syndetic subsets of Fra "iss 'e\n structures

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