Difference between revisions of "Nearly supercompact"

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(Created page with "{{DISPLAYTITLE: Nearly $\theta$-supercommpact cardinals}} A cardinal $\kappa$ is ''nearly $\theta$-supercompact'' if and only if every family $A\subset P_\kappa\theta$ of size $...")
 
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A cardinal $\kappa$ is ''nearly $\theta$-supercompact'' if and only if every family $A\subset P_\kappa\theta$ of size $\theta$ has a normal fine $\kappa$-complete filter measuring every set in $A$.  
 
A cardinal $\kappa$ is ''nearly $\theta$-supercompact'' if and only if every family $A\subset P_\kappa\theta$ of size $\theta$ has a normal fine $\kappa$-complete filter measuring every set in $A$.  

Revision as of 10:02, 3 January 2012


A cardinal $\kappa$ is nearly $\theta$-supercompact if and only if every family $A\subset P_\kappa\theta$ of size $\theta$ has a normal fine $\kappa$-complete filter measuring every set in $A$.


This notion was introduced by Jason Schanker in his dissertation (citation needed).


Nearly strongly compact