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Aronszajn tree

Known as: Aronszajn trees, Special Aronszajn tree, Tree property 
In set theory, an Aronszajn tree is an uncountable tree with no uncountable branches and no uncountable levels. For example, every Suslin tree is an… 
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Related topics

Related topics

6 relations
Kurepa treeKönig's lemmaSet theorySuslin tree

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
Influence of compatibilizers on the water-tree property of Montmorillonite / Cross-linked polyethylene nanocomposites
In this paper, a series of Montmorillonite / Cross-linked polyethylene (MMT/XLPE) nano-composites were prepared though melting… 
2011
2011
Subspaces and quotients of Banach spaces with shrinking unconditional bases
The main result is that a separable Banach space with the weak* unconditional tree property is isomorphic to a subspace as well… 
2009
2009
A cofinality-preserving small forcing may introduce a special Aronszajn tree
It is relatively consistent with the existence of two supercompact cardinals that a special Aronszajn tree of height $${\aleph_… 
2005
2005
Finite Tree Property for First-Order Logic with Identity and Functions
1999
1999
Modal Logics That Need Very Large Frames
  • M. Kracht
  • Notre Dame J. Formal Log.
  • 1999
  • Corpus ID: 27423343
The Kuznetsov–Index of a modal logic is the least cardinal μ such that any consistent formula has a Kripke–model of size ≤ μ if… 
1995
1995
Clustering Without (Thinking About) Triangulation
The undirected technique for evaluating belief networks [Jensen et al., 199Oa, Lauritzen and Spiegelhalter, 1988] requires… 
1994
1994
Consistency of Suslin's hypothesis, a nonspecial Aronszajn tree, and GCH
Introduction. In [Sh, Chapter IX], Shelah constructs a model of set theory in which Suslin's hypothesis is true, yet there is an… 
1983
1983
Two further combinatorial theorems equivalent to the 1-consistency of peano arithmetic
We give two new finite combinatorial statements which are independent of Peano arithmetic, using the methods of Kirby and Paris… 
Review
1982
Review
1982
On Aronszajn trees
This survey describes the contribution of N. Aronszajn to set theory: the construction of an Aronszajn tree. We would like to… 
1982
1982
The tree property is fundamental for query processing
One can partition the class of relational database schemas into tree schemas and cyclic schemas. In this paper we examine query… 
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