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...
Main Authors: | , |
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Format: | Article |
Language: | ces |
Published: |
Karolinum Press
2016-08-01
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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. |
first_indexed | 2024-04-13T13:48:35Z |
format | Article |
id | doaj.art-1b58cab824634d6aa2b881472adae4f1 |
institution | Directory Open Access Journal |
issn | 0567-8293 2464-7055 |
language | ces |
last_indexed | 2024-04-13T13:48:35Z |
publishDate | 2016-08-01 |
publisher | Karolinum Press |
record_format | Article |
series | Acta Universitatis Carolinae: Philosophica et Historica |
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 |
work_keys_str_mv | AT radekhonzik asurveyofspecialaronszajntrees AT sarkastejskalova asurveyofspecialaronszajntrees AT radekhonzik surveyofspecialaronszajntrees AT sarkastejskalova surveyofspecialaronszajntrees |