Title
THE TREE PROPERTY AT THE TWO IMMEDIATE SUCCESSORS OF A SINGULAR CARDINAL
Abstract
We present an alternative proof that from large cardinals, we can force the tree property at kappa(+) and kappa(++) simultaneously for a singular strong limit cardinal kappa. The advantage of our method is that the proof of the tree property at the double successor is simpler than in the existing literature. This new approach also works to establish the result for kappa = N-omega 2.
Year
DOI
Venue
2021
10.1017/jsl.2020.11
JOURNAL OF SYMBOLIC LOGIC
Keywords
DocType
Volume
tree property, singular cardinal, forcing
Journal
86
Issue
ISSN
Citations 
2
0022-4812
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
James Cummings17913.41
Yair Hayut200.34
Menachem Magidor31369140.76
Itay Neeman400.68
Dima Sinapova554.50
Spencer Unger600.34