SETS OF GOOD INDISCERNIBLES AND CHANG CONJECTURES WITHOUT CHOICE

I. Dimitriou

Corpus ID: 31199664

SETS OF GOOD INDISCERNIBLES AND CHANG CONJECTURES WITHOUT CHOICE

@inproceedings{Dimitriou2014SETSOG,
  title={SETS OF GOOD INDISCERNIBLES AND CHANG CONJECTURES WITHOUT CHOICE},
  author={I. Dimitriou},
  year={2014}
}

I. Dimitriou

Published 2014

With the help of sets of good indiscernibles above a certain height, we show that Chang conjectures involving four, finitely many, or an ω-sequence of cardinals have a much lower consistency strength with ZF than they do with ZFC. We will prove equiconsistency results for any finitely long Chang conjecture that starts with the successor of a regular cardinal. In particular, any Chang conjecture of the form (κn, . . . , κ0) (λn, . . . , λ0), where κn is the successor of a regular cardinal, in a… CONTINUE READING