A Report on Hausdorff Compactifications of $\mathbb{R}$
General Topology
2019-01-25 v1
Abstract
The goal of this report is to investigate the variety of Hausdorff compactifications of . The Alexandroff one-point compactification, the two-point compactification, and the Stone-Cech compactification are all clearly different. The ultimate aim is to show that there are in fact uncountably many. An intermediate aim is to exhibit one compactification of different from all the compactifications already mentioned.
Cite
@article{arxiv.1901.08167,
title = {A Report on Hausdorff Compactifications of $\mathbb{R}$},
author = {Arnold Tan Junhan},
journal= {arXiv preprint arXiv:1901.08167},
year = {2019}
}