English

Relative size of subsets of a semigroup

General Topology 2015-06-02 v1

Abstract

Given a semigroup SS, we introduce relative (with respect to a filter τ\tau on SS) versions of large, thick and prethick subsets of SS, give the ultrafilter characterizations of these subsets and explain how large could be some cell in a finite partition of a subset AτA\in\tau.

Keywords

Cite

@article{arxiv.1506.00112,
  title  = {Relative size of subsets of a semigroup},
  author = {Igor Protasov and Serhii Slobodianiuk},
  journal= {arXiv preprint arXiv:1506.00112},
  year   = {2015}
}