The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces
General Topology
2009-11-25 v2
Abstract
In this brief note we provide a simple approach to give a new proof of the well known fact that the Banach-Alaoglu theorem and the Tychonoff product theorem for compact Hausdorff spaces are equivalent.
Keywords
Cite
@article{arxiv.0911.0332,
title = {The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces},
author = {Stefano Rossi},
journal= {arXiv preprint arXiv:0911.0332},
year = {2009}
}
Comments
4 pages