Bruno de Mendonça Braga
Published 2015-08-08Version 1
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.
Types of tightness in spaces with unconditional basis
More on Property($M$) in separable Banach spaces: Revised
Smooth extensions of functions on separable Banach spaces
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