Cichoń’s diagram and localisation cardinals

We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7–8):1045–1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we au...

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Autores principales: Goldstern, Martin, Klausner, Lukas Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550353/
https://www.ncbi.nlm.nih.gov/pubmed/34720436
http://dx.doi.org/10.1007/s00153-020-00746-3
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author Goldstern, Martin
Klausner, Lukas Daniel
author_facet Goldstern, Martin
Klausner, Lukas Daniel
author_sort Goldstern, Martin
collection PubMed
description We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7–8):1045–1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.
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spelling pubmed-85503532021-10-29 Cichoń’s diagram and localisation cardinals Goldstern, Martin Klausner, Lukas Daniel Arch Math Log Article We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7–8):1045–1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals. Springer Berlin Heidelberg 2020-09-15 2021 /pmc/articles/PMC8550353/ /pubmed/34720436 http://dx.doi.org/10.1007/s00153-020-00746-3 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Goldstern, Martin
Klausner, Lukas Daniel
Cichoń’s diagram and localisation cardinals
title Cichoń’s diagram and localisation cardinals
title_full Cichoń’s diagram and localisation cardinals
title_fullStr Cichoń’s diagram and localisation cardinals
title_full_unstemmed Cichoń’s diagram and localisation cardinals
title_short Cichoń’s diagram and localisation cardinals
title_sort cichoń’s diagram and localisation cardinals
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550353/
https://www.ncbi.nlm.nih.gov/pubmed/34720436
http://dx.doi.org/10.1007/s00153-020-00746-3
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