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 |
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Pages (from-to) | 435-463 |
Number of pages | 29 |
Journal | European Journal of Mathematics |
Volume | 7 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s).
Keywords
- Chang’s Conjecture
- Diagonal Prikry forcing
- Scales