ON THE CONSISTENCY STRENGTH OF ... - ScienceDirect.com
Annals of Pure and Applied Logic 25 (1983) 233-261 North-Holland
233
ON THE CONSISTENCY STRENGTH OF ‘ACCESSIBLE’ JONSSON CARDINALS AND OF THE WEAK CHANG CONJECTURE Hans-Dieter
DONDER
Mathematisches
Instirut, Universitiit Bonn, Bering@.
6, 5300 Bonn, West Germany
Peter KOEPKE Mathemakhes Germany
Institut, Abt. fiir Math.
Logik,
Universitiit Freiburg, 7800 Freiburg, West
Communicated by J.E. Fenstad Received 18 December 1982; revised 8 July 1983 Using the core model K we determine better lower bounds for the consistency strength of some combinatorial principles: I. Assume that A is a Jonsson cardinal which is ‘accessible’ in the sense that at least one of (l)-(4) holds: (1) A is a successor cardinal; (2) A = oE and 6
233
ON THE CONSISTENCY STRENGTH OF ‘ACCESSIBLE’ JONSSON CARDINALS AND OF THE WEAK CHANG CONJECTURE Hans-Dieter
DONDER
Mathematisches
Instirut, Universitiit Bonn, Bering@.
6, 5300 Bonn, West Germany
Peter KOEPKE Mathemakhes Germany
Institut, Abt. fiir Math.
Logik,
Universitiit Freiburg, 7800 Freiburg, West
Communicated by J.E. Fenstad Received 18 December 1982; revised 8 July 1983 Using the core model K we determine better lower bounds for the consistency strength of some combinatorial principles: I. Assume that A is a Jonsson cardinal which is ‘accessible’ in the sense that at least one of (l)-(4) holds: (1) A is a successor cardinal; (2) A = oE and 6
