The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces

Details The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces

2009-11-02

arxiv.org/abs/0911.0332v2

Mathematics

General Topology

4 pages

Scientific paper

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.

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