Far points and discretely generated spaces
General Topology
2020-01-20 v3
Abstract
We give a partial solution to a question by Alas, Junqueria and Wilson by proving that under PFA the one-point compactification of a locally compact, discretely generated and countably tight space is also discretely generated. After this, we study the cardinal number given by the smallest possible character of remote and far sets of separable metrizable spaces. Finally, we prove that in some cases a countable space has far points.
Keywords
Cite
@article{arxiv.1509.01601,
title = {Far points and discretely generated spaces},
author = {Alan Dow and Rodrigo Hernández-Gutiérrez},
journal= {arXiv preprint arXiv:1509.01601},
year = {2020}
}