A Large Pairwise Far Family of Aronszajn Trees
John Krueger

TL;DR
This paper constructs a large family of complex Aronszajn trees with specific properties, using advanced set-theoretic principles, expanding understanding of tree structures in set theory.
Contribution
It introduces a new large family of Aronszajn trees with unique embedding and non-special properties via the proxy principle, advancing the theory of such trees.
Findings
Constructed a large family of Aronszajn trees with specific properties
Demonstrated the non-existence of club isomorphic subtrees in these trees
Utilized the proxy principle of Brodsky-Rinot in the construction
Abstract
We construct a large family of normal -complete -embeddable non-special -Aronszajn trees which have no club isomorphic subtrees using an instance of the proxy principle of Brodsky-Rinot.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Topological and Geometric Data Analysis
