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WebInner Model Theory Slogan : Associate to each large cardinal hypothesis a canonical inner model which is in some sense minimal, and whose structure can be analyzed …
See results only from math.berkeley.eduAn Outline of Inner Model T…
I. An Outline of Inner Model Theory John R. Steel 1. Introduction This article is an …
WebThe goal of this survey paper is to give an overview of recent developments in inner model theory. We discuss several most important questions in the eld and relevant work …
WebMuch of the theory of large cardinals beyond a measurable cardinal concerns the structure of elementary embeddings of the universe of sets into inner models. This paper seeks …
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WebApr 4, 2020 · Inner models with all sets generic. Ask Question. Asked 4 years ago. Modified 4 years ago. Viewed 325 times. 6. Question: Under large cardinal axioms, what is the …
WebIn set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof.
WebDec 10, 2009 · This paper outlines the basic theory of canonical inner models satisfying large cardinal hypotheses. It begins with the definition of the models, and their fine …
WebOct 25, 2020 · For example M♯ 1 M 1 ♯ is the smallest mouse above a Woodin cardinal, and M1 M 1 is the canonical inner model of one Woodin cardinal obtained by iterating the top …
WebSep 6, 2011 · This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties …
WebWe introduce a new inner model C(aa) arising from stationary logic. We show that assuming a proper class of Woodin cardinals, or alternatively MM++, the regular uncountable …
lo.logic - Does inner model theory seek canonical models for large ...
WebFeb 4, 2019 · A remarkable result is that given an ordinal κ, if there is a model L[U] in which κ is measurable and U is a normal measure on κ, then there is exactly one inner model …
5. CC models and comments — CC_lecture 1.0 documentation
WebCC models and comments ¶. 5.1. Standard CC models ¶. With the equations that we have presented in the previous section, the standard models of CC theory can be easily …
WebThis chapter provides an introduction to the basic theory of inner models without fine structure. It assumes that the reader is familiar with G ̈odel’s class L of constructible sets; …
$A^\\#$ and inner models - Mathematics Stack Exchange
WebSuppose $V$ is a model of $ZFC$, $A$ a set of ordinals and $M$ is a transitive inner model such that $A\in M$ and $M\models A^\#\text{ exists}$. Does that imply …
What determines when an inner model is "canonical"?
Web8. I've read several places that L, the constructible universe, is the least canonical inner model. Grigor Sargsyan explains in his slides that L is canonical due to RL being Σ12 …
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Category:Inner model theory - Wikipedia
WebInner model theory is the study of certain models of ZFC or some fragment or strengthening thereof.
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