ON THE COMPLEXITY.pdf (470.38 kB)
Download fileOn the complexity of some inevitable classes of separable Banach spaces.
journal contribution
posted on 2018-02-13, 00:00 authored by BM BRAGA.In this paper, we study the descriptive complexity of some inevitable
classes of Banach spaces. Precisely, as shown in [Go], every Banach
space either contains a hereditarily indecomposable subspace or an unconditional
basis, and, as shown in [FR], every Banach space either contains a minimal
subspace or a continuously tight subspace. In these notes, we study the complexity of those inevitable classes as well as the complexity of containing a subspace in any of those classes.