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arXiv · 2206.06283

Two Results on Fremlin's Archimedean Riesz Space Tensor Product

Gerard Buskes·Page Thorn
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Abstract

In this paper, we characterize when, for any infinite cardinal α, the Fremlin tensor product of two Archimedean Riesz spaces is Dedekind α-complete. We also provide an example of an ideal I in an Archimedean Riesz space E such that the Fremlin tensor product of I with itself is not an ideal in the Fremlin tensor product of E with itself.

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Gerard Buskes, Page Thorn. 2023-03-07. Two Results on Fremlin's Archimedean Riesz Space Tensor Product. https://arxiv.org/abs/2206.06283

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