ON THE SPLITTING NUMBER AT REGULAR CARDINALS

Author:

BEN-NERIA OMER,GITIK MOTI

Abstract

AbstractLetκ, λ be regular uncountable cardinals such that λ >κ+is not a successor of a singular cardinal of low cofinality. We construct a generic extension withs(κ) = λ starting from a ground model in whicho(κ) = λ and prove that assuming ¬0,s(κ) = λ implies thato(κ) ≥ λ in the core model.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference10 articles.

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. MORE ZFC INEQUALITIES BETWEEN CARDINAL INVARIANTS;The Journal of Symbolic Logic;2021-08-02

2. ON CONFIGURATIONS CONCERNING CARDINAL CHARACTERISTICS AT REGULAR CARDINALS;The Journal of Symbolic Logic;2020-06

3. Amenable colorings;European Journal of Mathematics;2017-01-04

4. Questions on generalised Baire spaces;Mathematical Logic Quarterly;2016-08

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