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2001  Iteratively Forcing with α-semiproper preorders  単独  2002/01 
Mengenlehre  , Mathematisches Forschungsinstit-ut Oberwolfach, ドイツ   

概要(Abstract) If we iteratively force withα-semiproper preorders by taking a suitable limit, then the iterated forcing enjoys the same property 

備考(Remarks) 招聘 

2001  Fast Functions and Localized Reflecting Cardinals  単独  2001/12 
Set-Theory Meeting in KasugaiII  , 中部大学   

概要(Abstract) We force with the fast function forcing at a localized reflecting cardinal. We show that the large cardinal has a Laver-type diamond sequence in the generic extensions. 

備考(Remarks)  

2001  On the complete boundingness and the Strong Reflection Principle  単独  2001/07 
Set-Theory Meeting in Kasugai  , 中部大学   

概要(Abstract) We classify collections of countable subsets S of a fixed uncountable set. This is done in terms of the notion of forcing which shoots a club through S. 

備考(Remarks)  

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