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$\sigma$-Porosity of Certain Ideals

Logic 2025-12-09 v1

Abstract

We investigate the σ\sigma-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\sigma-porosity is a strengthening of meagerness. In this paper, we verify which ideals are σ\sigma-porous.

Keywords

Cite

@article{arxiv.2512.07711,
  title  = {$\sigma$-Porosity of Certain Ideals},
  author = {Paweł Klinga and Andrzej Nowik and Anna Wąsik},
  journal= {arXiv preprint arXiv:2512.07711},
  year   = {2025}
}