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
Descripción
Sumario: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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