Successor of singulars: Combinatorics and not collapsing cardinals ≤ κ IN (< κ)-support iterations

Saharon Shelah

doi:10.1007/BF02787405

Successor of singulars: Combinatorics and not collapsing cardinals ≤ κ IN (< κ)-support iterations

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

12 Scopus citations

Abstract

On the one hand, we deal with (< κ)-supported iterated forcing notions which are (ε̂₀, ε̂₁)-complete, bearing in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the case of a successor of the singular cardinal. This continues [Sh 587]. On the other hand, we deal with complimentary ZFC combinatorial results.

Original language	English
Pages (from-to)	127-155
Number of pages	29
Journal	Israel Journal of Mathematics
Volume	134
DOIs	https://doi.org/10.1007/BF02787405
State	Published - 2003

Access to Document

10.1007/BF02787405

Cite this

@article{2ac57cc0a2ea4ccb922b4e8512aa800d,

title = "Successor of singulars: Combinatorics and not collapsing cardinals ≤ κ IN (< κ)-support iterations",

abstract = "On the one hand, we deal with (< κ)-supported iterated forcing notions which are ({\^ε}0, {\^ε}1)-complete, bearing in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the case of a successor of the singular cardinal. This continues [Sh 587]. On the other hand, we deal with complimentary ZFC combinatorial results.",

author = "Saharon Shelah",

year = "2003",

doi = "10.1007/BF02787405",

language = "אנגלית",

volume = "134",

pages = "127--155",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Successor of singulars

T2 - Combinatorics and not collapsing cardinals ≤ κ IN (< κ)-support iterations

AU - Shelah, Saharon

PY - 2003

Y1 - 2003

N2 - On the one hand, we deal with (< κ)-supported iterated forcing notions which are (ε̂0, ε̂1)-complete, bearing in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the case of a successor of the singular cardinal. This continues [Sh 587]. On the other hand, we deal with complimentary ZFC combinatorial results.

AB - On the one hand, we deal with (< κ)-supported iterated forcing notions which are (ε̂0, ε̂1)-complete, bearing in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the case of a successor of the singular cardinal. This continues [Sh 587]. On the other hand, we deal with complimentary ZFC combinatorial results.

UR - https://www.scopus.com/pages/publications/0037573485

U2 - 10.1007/BF02787405

DO - 10.1007/BF02787405

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0037573485

SN - 0021-2172

VL - 134

SP - 127

EP - 155

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Successor of singulars: Combinatorics and not collapsing cardinals ≤ κ IN (< κ)-support iterations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this