Unconditional basic sequences in spaces of large density

作者：Dodos Pandelis; Lopez Abad Jordi; Todorcevic Stevo^*

来源：Advances in Mathematics, 2011, 226(4): 3297-3308.

DOI：10.1016/j.aim.2010.10.012

• Unconditional basic sequence
• Non-separable Banach spaces
• Separable quotient problem
• Forcing
• Polarized Ramsey
• Strongly compact cardinal

We study the problem of the existence of unconditional basic sequences in Banach spaces of high density. We show in particular the relative consistency of the statement that every Banach space of density aleph(omega) contains an unconditional basic sequence.

• 出版日期2011-3-1