Sheva-sheva-sheva: Large creatures

Andrzej Rosłanowski; Saharon Shelah

doi:10.1007/s11856-007-0040-8

Sheva-sheva-sheva: Large creatures

Andrzej Rosłanowski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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].)

Original language	English
Pages (from-to)	109-174
Number of pages	66
Journal	Israel Journal of Mathematics
Volume	159
DOIs	https://doi.org/10.1007/s11856-007-0040-8
State	Published - Jun 2007

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title = "Sheva-sheva-sheva: Large creatures",

abstract = "We develop the theory of the forcing with trees and creatures for an inaccessible λ continuing Ros{\l}anowski 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 Ros{\l}anowski and Shelah [16] and Shelah [20], [21].)",

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AB - 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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Sheva-sheva-sheva: Large creatures

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