A 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 w...

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Main Authors: Radek Honzík, Šárka Stejskalová
Format: Article
Language:ces
Published: Karolinum Press 2016-08-01
Series:Acta Universitatis Carolinae: Philosophica et Historica
Subjects:
Online Access:http://www.karolinum.cz/doi/10.14712/24647055.2016.10
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author Radek Honzík
Šárka Stejskalová
author_facet Radek Honzík
Šárka Stejskalová
author_sort Radek Honzík
collection DOAJ
description 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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spelling doaj.art-1b58cab824634d6aa2b881472adae4f12022-12-22T02:44:25ZcesKarolinum PressActa Universitatis Carolinae: Philosophica et Historica0567-82932464-70552016-08-0120151739110.14712/24647055.2016.104165A survey of special Aronszajn treesRadek HonzíkŠárka StejskalováThe 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.http://www.karolinum.cz/doi/10.14712/24647055.2016.10special Aronszajn trees
spellingShingle Radek Honzík
Šárka Stejskalová
A survey of special Aronszajn trees
Acta Universitatis Carolinae: Philosophica et Historica
special Aronszajn trees
title A survey of special Aronszajn trees
title_full A survey of special Aronszajn trees
title_fullStr A survey of special Aronszajn trees
title_full_unstemmed A survey of special Aronszajn trees
title_short A survey of special Aronszajn trees
title_sort survey of special aronszajn trees
topic special Aronszajn trees
url http://www.karolinum.cz/doi/10.14712/24647055.2016.10
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AT sarkastejskalova asurveyofspecialaronszajntrees
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