English

Ideal-like properties of generalized microscopic sets

General Topology 2017-09-26 v1

Abstract

We show that not every family of generalized microscopic sets forms an ideal. Moreover, we prove that some of these families have some weaker additivity properties and some of them do not have even that.

Keywords

Cite

@article{arxiv.1512.04424,
  title  = {Ideal-like properties of generalized microscopic sets},
  author = {Klaudiusz Czudek and Adam Kwela and Nikodem Mrożek and Wojciech Wołoszyn},
  journal= {arXiv preprint arXiv:1512.04424},
  year   = {2017}
}
R2 v1 2026-06-22T12:09:20.618Z