|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
On disjoint
stationary sequences
Maxwell Levine |
|
Vol. 332 (2024), No. 1, 147–165
|
|
DOI: 10.2140/pjm.2024.332.147
|
 |
Abstract |
|
We answer a question of Krueger by obtaining disjoint stationary sequences on successive cardinals. The main idea is an alternative presentation of a mixed support iteration, using it more explicitly as a variant of Mitchell forcing. We also use a Mahlo cardinal to obtain a model in which and there is no disjoint stationary sequence on , answering a question of Gilton. |
Keywords
set theory, forcing, independence, large cardinals
|
Mathematical Subject Classification
Primary: 03E35, 03E55
|
Milestones
Received: 18 January 2023
Revised: 19 October 2024
Accepted: 2 November 2024
Published: 20 November 2024
|
Authors |
| Maxwell Levine | |
| Institute of Mathematics University of Freiburg Freiburg im Breisgau Germany |
|
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
