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STRONGLY INCREASING SEQUENCES

delete2026-03-01
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PRE
AI
L
Larson, Paul *
L
Lambie-Hanson, Chris
DOI:10.1017/jsl.2026.10200delete
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Abstract

Abstract

En 中文
Using a variation of Woodin's $\mathbb {P}_{\mathrm {max}}$ forcing, we force over a model of the Axiom of Determinacy to produce a model of ZFC containing a very strongly increasing sequence of length $\omega _{2}$ consisting of functions from $\omega $ to $\omega $ . We also show that there can be no such sequence of length $\omega _{4}$ .
Keywords:
pcf
Chang's conjecture
Hechler forcing
Pmax

Journal

J
Journal of Symbolic Logic
IF:
0.6
Papers:
69
Citations:
0

Organization

U
University System of Ohio
Scholars:
15.4W
Papers: 13.0W
Citations: 200
M
Miami University
Scholars:
2.4K
Papers: 2.0K
Citations: 4.2K