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Preprints, Working Papers, ... Year : 2008

Unconditional basic sequences in spaces of large density

Abstract

We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show, in particular, the relative consistency with GCH of the statement that every Banach space of density $\aleph_\omega$ contains an unconditional basic sequence.
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Dates and versions

hal-00278606 , version 1 (13-05-2008)
hal-00278606 , version 2 (15-05-2008)
hal-00278606 , version 3 (27-05-2008)

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Pandelis Dodos, Jordi Lopez Abad, Stevo Todorcevic. Unconditional basic sequences in spaces of large density. 2008. ⟨hal-00278606v3⟩
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