The uniform strong diameter two property
Esteban Mart\'inez Va\~n\'o, Abraham Rueda Zoca
TL;DR
This paper introduces a uniform version of the strong diameter two property, providing a new characterization that avoids ultrafilters and offering examples of spaces with this property beyond known results.
Contribution
It presents a novel uniform strong diameter two property, with a new characterization and examples that extend previous understanding.
Findings
New characterization of the uniform strong diameter two property
Examples of spaces with the property not derived from prior results
Avoidance of ultrafilter-based characterizations
Abstract
We study a uniform version of the strong diameter two property. In particular, we find a characterisation that does not involve ultrafilters and we use it to provide some examples of spaces with this uniform property that do not follow from previously known results.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Advanced Operator Algebra Research