Yet another proof of Tychonoff's Theorem
General Topology
2021-02-23 v1
Abstract
In 1971 I announced what I described as a nice proof of Tychonoff's Theorem, an immediate corollary of a result concerning closed projections combined with Mrowka's characterization of compactness: a space X is compact if and only if for each space Y the projection from X x Y to Y is closed. I described the proof as to appear but to date it has not. In 2019 I published a generalization of the stronger closed projection result which yields a different look to the proof. Both versions are presented here.
Cite
@article{arxiv.2102.10444,
title = {Yet another proof of Tychonoff's Theorem},
author = {N. Noble},
journal= {arXiv preprint arXiv:2102.10444},
year = {2021}
}
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3 pages