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arXiv · 1810.00241

Topological stable rank of $\mathcal{E}'(\mathbb{R})$

Amol Sasane
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Abstract

The set $\mathcal{E}'(\mathbb{R})$ of all compactly distributions, with the operations of addition, convolution, multiplication by complex scalars, and with the strong dual topology is a topological algebra. In this article, it is shown that the topological stable rank of $\mathcal{E}'(\mathbb{R})$ is 2.

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Amol Sasane. 2018-09-29. Topological stable rank of $\mathcal{E}'(\mathbb{R})$. https://arxiv.org/abs/1810.00241

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