English

A Short Study of Alexandroff Spaces

General Topology 2007-08-17 v1

Abstract

In this paper, we discuss the basic properties of Alexandroff spaces. Several examples of Alexandroff spaces are given. We show how to construct new Alexandroff spaces from given ones. Finally, two invariants for compact Alexandroff spaces are defined and calculated for the given examples.

Keywords

Cite

@article{arxiv.0708.2136,
  title  = {A Short Study of Alexandroff Spaces},
  author = {Timothy Speer},
  journal= {arXiv preprint arXiv:0708.2136},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-06-21T09:07:50.744Z