SHORT EXTENDERS FORCINGS I-Reference-Cited by-同舟云学术

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SHORT EXTENDERS FORCINGS I

Published:2012-12 Issue:02 Volume:12 Page:1250009
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

GITIK MOTI¹

Affiliation:

1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, Ramat Aviv 69978, Israel

Abstract

The purpose of the present paper is to present new methods of blowing up the power of a singular cardinal κ of cofinality ω. New PCF configurations are obtained. The techniques developed here will be used in a subsequent paper to construct a model with a countable set which pcf has cardinality ℵ1.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061312500092

Reference11 articles.

1. Blowing up power of a singular cardinal—wider gaps

2. On gaps under GCH type assumptions

3. NO BOUND FOR THE FIRST FIXED POINT

Cited by 6 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. Approachable free subsets and fine structure derived scales;Annals of Pure and Applied Logic;2024-07

2. Short extenders forcings – doing without preparations;Annals of Pure and Applied Logic;2020-05

3. Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis;Journal of Mathematical Logic;2020-01-30

4. ON SINGULAR STATIONARITY II (TIGHT STATIONARITY AND EXTENDERS-BASED METHODS);The Journal of Symbolic Logic;2019-03

5. The *-Prikry condition;Reports on Mathematical Logic;2018

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