Title
Aronszajn and Kurepa trees.
Abstract
Monroe Eskew (Tree properties on \(\omega _1\) and \(\omega _2\), 2016. https://mathoverflow.net/questions/217951/tree-properties-on-omega-1-and-omega-2) asked whether the tree property at \(\omega _2\) implies there is no Kurepa tree (as is the case in the Mitchell model, or under PFA). We prove that the tree property at \(\omega _2\) is consistent with the existence of \(\omega _1\)-trees with as many branches as desired.
Year
DOI
Venue
2018
10.1007/s00153-017-0579-y
Arch. Math. Log.
Keywords
Field
DocType
Aronszajn tree, Kurepa tree, Mitchell forcing, Forcing axioms, 03E35
Discrete mathematics,Combinatorics,Kurepa tree,Omega,Mathematics,Aronszajn tree
Journal
Volume
Issue
ISSN
57
1-2
0933-5846
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
James Cummings17913.41