Distributive Aronszajn trees
نویسندگان
چکیده
منابع مشابه
Aronszajn trees
This survey describes the contribution of N. Aronszajn to set theory: the construction of an Aronszajn tree. We would like to explain to the non-specialist in set theory what is an Aronszajn tree, how it is constructed, and why it occupies such a central place in set theory. In fact, we describe two constructions: the classical one, and a newer construction of a canonical Aronszajn tree due to ...
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These notes are based on results presented by Itay Neeman at the Appalachian Set Theory workshop on February 28, 2009. Spencer Unger was the official note-taker and based these notes closely on Neeman’s lectures. The purpose of the workshop was to present a recent theorem due to Neeman [16]. Theorem 1. From large cardinals, it is consistent that there is a singular strong limit cardinal κ of co...
متن کاملStructural Analysis of Aronszajn Trees
In this paper I will survey some recent developments in the combinatorics of Aronszajn trees. I will cover work on coherent and Lipschitz trees, the basis problem for uncountable linear orderings, subtree bases for Aronszajn trees, and the existence of minimal Aronszajn types.
متن کاملSpecialising Aronszajn trees by countable approximations
We show that there are proper forcings based upon countable trees of creatures that specialise a given Aronszajn tree.
متن کاملA survey of special Aronszajn trees
The paper reviews special Aronszajn trees, both at ω1 and κ + for an uncountable regular κ. It provides a comprehensive classification of the trees and discusses the existence of these trees under different set-theoretical assumptions. The paper provides details and proofs for many folklore results which circulate (often without a proper proof) in the literature.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2019
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm542-4-2018