|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4661553||1413704||2017||13 صفحه PDF||ندارد||دانلود رایگان|
We provide a model where u(κ)<2κu(κ)<2κ for a supercompact cardinal κ.  provides a sketch of how to obtain such a model by modifying the construction in . We provide here a complete proof using a different modification of  and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that hold in the countable case as well as some classical forcing notions and their properties.
Journal: Annals of Pure and Applied Logic - Volume 168, Issue 1, January 2017, Pages 37–49