English

The uniform strong diameter two property

Functional Analysis 2025-12-15 v1

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.

Keywords

Cite

@article{arxiv.2512.11408,
  title  = {The uniform strong diameter two property},
  author = {Esteban Martínez Vañó and Abraham Rueda Zoca},
  journal= {arXiv preprint arXiv:2512.11408},
  year   = {2025}
}

Comments

26 pages

R2 v1 2026-07-01T08:21:59.940Z