Abstract
We develop the theory of the forcing with trees and creatures for an inaccessible λ continuing Rosłanowski and Shelah [15], [17]. To make a real use of these forcing notions (that is to iterate them without collapsing cardinals) we need suitable iteration theorems, and those are proved as well. (In this aspect we continue Rosłanowski and Shelah [16] and Shelah [20], [21].)
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Rosłanowski, A., Shelah, S. Sheva-sheva-sheva: Large creatures. Isr. J. Math. 159, 109–174 (2007). https://doi.org/10.1007/s11856-007-0040-8
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DOI: https://doi.org/10.1007/s11856-007-0040-8