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arXiv · 2607.13788

Differences between the uniform diameter two properties

Abraham Rueda Zoca
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Abstract

We study uniform versions of the diameter two properties, that is, the uniform slice-D2P, the uniform D2P and the uniform SD2P, as the property that every ultrapower over any free ultrafilter over $\mathbb N$ has the respective diameter two property. The aim of this note is to prove that all the uniform diameter two properties are different eachother.

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Abraham Rueda Zoca. 2026-07-15. Differences between the uniform diameter two properties. https://arxiv.org/abs/2607.13788

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