English

A note on fragmentability and weak-G_delta sets

Functional Analysis 2022-06-14 v1

Abstract

In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_delta open bounded subsets. In particular, none of these spaces is isomorphic to a separable polyhedral space.

Keywords

Cite

@article{arxiv.0812.4690,
  title  = {A note on fragmentability and weak-G_delta sets},
  author = {V. P. Fonf and R. J. Smith and S. Troyanski},
  journal= {arXiv preprint arXiv:0812.4690},
  year   = {2022}
}
R2 v1 2026-06-21T11:55:53.916Z