Global Chang's Conjecture and singular cardinals

Monroe Eskew; Yair Hayut

doi:10.1007/s40879-021-00459-8

Global Chang's Conjecture and singular cardinals

Monroe Eskew
, Yair Hayut

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some ZFC limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below ℵωω.

Original language	English
Pages (from-to)	435–463
Number of pages	29
Journal	European Journal of Mathematics
Volume	7
Issue number	2
DOIs	https://doi.org/10.1007/s40879-021-00459-8
Publication status	Published - Jun 2021

Austrian Fields of Science 2012

101013 Mathematical logic

Keywords

Chang's Conjecture
Diagonal Prikry forcing
Scales
Chang’s Conjecture

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10.1007/s40879-021-00459-8Licence: CC BY 4.0

https://phaidra.univie.ac.at/o:1493122Licence: CC BY 4.0

Cite this

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title = "Global Chang's Conjecture and singular cardinals",

abstract = "We investigate the possibilities of global versions of Chang{\textquoteright}s Conjecture that involve singular cardinals. We show some ZFC limitations on such principles and prove relative to large cardinals that Chang{\textquoteright}s Conjecture can consistently hold between all pairs of limit cardinals below ℵωω.",

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KW - Chang's Conjecture

KW - Diagonal Prikry forcing

KW - Scales

KW - Chang’s Conjecture

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JF - European Journal of Mathematics

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Global Chang's Conjecture and singular cardinals

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

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