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

Stefano Rossi

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arXiv · 0911.0332

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

Stefano Rossi

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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.

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Stefano Rossi. 2009-11-25. The Banach-Alaoglu theorem is equivalent to the Tychonoff theorem for compact Hausdorff spaces. https://arxiv.org/abs/0911.0332

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