The Consistency of V = HOD with Level by Level Equivalence
نویسنده
چکیده
We construct two models showing the relative consistency of V = HOD with the level by level equivalence between strong compactness and supercompactness. In the first model, various versions of the combinatorial principles and ♦ hold. In the second model, the Ground Axiom (GA) holds.
منابع مشابه
Hod-supercompactness, Indestructibility, and Level by Level Equivalence
In an attempt to extend the property of being supercompact but not hod-supercompact to a proper class of indestructibly supercompact cardinals, a theorem is discovered about a proper class of indestructibly supercompact cardinals which reveals a surprising incompatibility. However, it is still possible to force to get a model in which the property of being supercompact but not hod-supercompact ...
متن کاملInner models with large cardinal features usually obtained by forcing
We construct a variety of inner models exhibiting features usually obtained by forcing over universes with large cardinals. For example, if there is a supercompact cardinal, then there is an inner model with a Laver indestructible supercompact cardinal. If there is a supercompact cardinal, then there is an inner model with a supercompact cardinal κ for which 2κ = κ+, another for which 2κ = κ++ ...
متن کاملروایی پایایی نسخه فارسی پرسش‌نامه سرمایه اجتماعی اونیکس در سالمندان
Objectives: Establishing social relationships and creating and reinforcing social networks among the elderly people may create social capital. Thus, this research aimed to translate Onyx and Bullen social capital questionnaire into Persian version and evaluate its validity and reliability for elderly people. Methods & Materials: This cross-sectional study was conducted among 192 elde...
متن کاملThe graph of equivalence classes and Isoclinism of groups
Let $G$ be a non-abelian group and let $Gamma(G)$ be the non-commuting graph of $G$. In this paper we define an equivalence relation $sim$ on the set of $V(Gamma(G))=Gsetminus Z(G)$ by taking $xsim y$ if and only if $N(x)=N(y)$, where $ N(x)={uin G | x textrm{ and } u textrm{ are adjacent in }Gamma(G)}$ is the open neighborhood of $x$ in $Gamma(G)$. We introduce a new graph determined ...
متن کاملRecovery of oil products in Iran by substitution and production effects: A two-stage approach in the form of a general equivalence model
In the energy economics literature, one of the most important approaches to managing energy demand is to improve energy efficiency, which is associated with a concept called a rebound effect. The rebound effect causes the energy saving (due to improved efficiency) to be less than expected. Considering the importance of using oil products in the Iranian economy, the present paper tries to track ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017