English

Closed sets in a generalization of the Alexandrov cube

General Topology 2024-12-31 v1

Abstract

We continue work on the topology obtained by the convergence λls\lambda_{ls}, which started in \cite{KuPaCZ}, and further investigated in \cite{KuPaFil19}. The main goal is to describe the closed sets and closure operator by the family of its minimal elements, with the accent on complete Boolean algebras satisfying countable chain condition.

Keywords

Cite

@article{arxiv.2412.20307,
  title  = {Closed sets in a generalization of the Alexandrov cube},
  author = {Miloš S. Kurilić and Aleksandar Pavlović},
  journal= {arXiv preprint arXiv:2412.20307},
  year   = {2024}
}