The first measurable cardinal can be the first uncountable regular cardinal at any successor height-Reference-Cited by-同舟云学术

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The first measurable cardinal can be the first uncountable regular cardinal at any successor height

Published:2014-10-28 Issue:6 Volume:60 Page:471-486
ISSN:0942-5616
Container-title:Mathematical Logic Quarterly
language:en
Short-container-title:Math. Log. Quart.

Author:

Apter Arthur W.¹²,Dimitriou Ioanna M.³,Koepke Peter³

Affiliation:

1. Mathematics; The Graduate Center of The City University of New York; 365 Fifth Avenue New York NY 10016 United States of America

2. Department of Mathematics; Baruch College; One Bernard Baruch Way New York NY 10010 United States of America

3. Mathematisches Institut; Rheinische Friedrich-Wilhelms-Universität Bonn; Endenicher Allee 60 53115 Bonn Germany

Publisher

Wiley

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/malq.201110007/fullpdf

Reference11 articles.

1. Relative consistency results via strong compactness;Apter;Fundam. Math.,1991

2. Instances of dependent choice and the measurability of ℵω+1;Apter;Ann. Pure Appl. Log.,1995

3. Successors of singular cardinals and measurability;Apter;Adv. Math.,1985

4. AD and patterns of singular cardinals below Θ;Apter;J. Symb. Log.,1996

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. Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse;Archive for Mathematical Logic;2022-09-10

2. Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse;Mathematical Logic Quarterly;2020-10

3. Spectra of uniformity;Commentationes Mathematicae Universitatis Carolinae;2019-10-04

4. All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters;Mathematical Logic Quarterly;2016-04-21

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