The descriptive complexity of approximation properties in an admissible topology

Ghadeer Ghawadrah Fundamenta Mathematicae 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.

Authors

  • Ghadeer GhawadrahDepartment of Mathematics
    Faculty of Science
    An-Najah National University
    Nablus, Palestine
    e-mail

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