The descriptive complexity of approximation properties in an admissible topology
Volume 249 / 2020
Fundamenta Mathematicae 249 (2020), 303-309
MSC: 46B20, 54H05.
DOI: 10.4064/fm758-8-2019
Published online: 20 December 2019
Abstract
We show that the set of all separable Banach spaces that have the $\pi $-property and the set of all separable Banach spaces that have the BAP are Borel sets of class 6 whenever the set of non-empty closed subsets of $C(\Delta )$ (where $\Delta $ is the Cantor space) is equipped with an admissible topology.
