Global Chang’s Conjecture and singular cardinals

We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some [Formula: see text] limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below [F...

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Detalles Bibliográficos
Autores principales: Eskew, Monroe, Hayut, Yair
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550154/
https://www.ncbi.nlm.nih.gov/pubmed/34722125
http://dx.doi.org/10.1007/s40879-021-00459-8
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author Eskew, Monroe
Hayut, Yair
author_facet Eskew, Monroe
Hayut, Yair
author_sort Eskew, Monroe
collection PubMed
description We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some [Formula: see text] limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below [Formula: see text] .
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spelling pubmed-85501542021-10-29 Global Chang’s Conjecture and singular cardinals Eskew, Monroe Hayut, Yair Eur J Math Research Article We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some [Formula: see text] limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below [Formula: see text] . Springer International Publishing 2021-03-24 2021 /pmc/articles/PMC8550154/ /pubmed/34722125 http://dx.doi.org/10.1007/s40879-021-00459-8 Text en © The Author(s) 2021 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 Research Article
Eskew, Monroe
Hayut, Yair
Global Chang’s Conjecture and singular cardinals
title Global Chang’s Conjecture and singular cardinals
title_full Global Chang’s Conjecture and singular cardinals
title_fullStr Global Chang’s Conjecture and singular cardinals
title_full_unstemmed Global Chang’s Conjecture and singular cardinals
title_short Global Chang’s Conjecture and singular cardinals
title_sort global chang’s conjecture and singular cardinals
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550154/
https://www.ncbi.nlm.nih.gov/pubmed/34722125
http://dx.doi.org/10.1007/s40879-021-00459-8
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