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Inner Model Theory
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 …
An Outline of Inner Model T…
I. An Outline of Inner Model Theory John R. Steel 1. Introduction This article is an …
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Fashion Land – Models Forum
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An exceptional review about inner model theory
WEBAug 27, 2016 · Inner model theory has both test questions that it tries to resolve and unexplained phenomena that it tries to elucidate. The inner model-theoretic approach to …
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set theory - Inner models with all sets generic - MathOverflow
WEBApr 4, 2020 · Every countable model $M$ of ZFC is HOD of some model of ZFC (obtained using class forcing over $M$). However, let $M_∞$ (or $M_\text{Ord}$) be the minimal …
An Outline of Inner Model Theory | SpringerLink
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 …
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 …
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WEBI. An Outline of Inner Model Theory John R. Steel 1. Introduction This article is an exposition of the theory of canonical inner models for large cardinal hypotheses, or …
A “paradox” about the inner model problem - MathOverflow
WEBOct 25, 2020 · As stated in Woodin, Davis, and Rodriguez - The HOD dichotomy, a longstanding open problem in set theory is to construct a canonical inner model for …
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 …
Beginning Inner Model Theory | SpringerLink
WEBDec 10, 2009 · This chapter provides an introduction to the basic theory of inner models of set theory, without fine structure. Section 1 begins with the basic theory of Gödel’s class …
Inner model - Wikipedia
WEBIn set theory, a branch of mathematical logic, an inner model [1] for a theory T is a substructure of a model M of a set theory that is both a model for T and contains all the …
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 …
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 …
Inner model theory - Apeirology Wiki
WEBInner model theory is the study of the "fine structure theory" and construction of inner models, proper class -sized models of ZFC which satisfy the existence of large …
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 …
Inner Models and Large Cardinals - De Gruyter
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 …
Category:Inner model theory - Wikipedia
WEBInner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of …
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 …
What determines when an inner model is "canonical"?
WEBCanonical inner models $M$ are definable without parameters and, in fact, "locally" definable, that is, there is a formula $\psi_M$ such that $M=\{x\mid \psi_M(x)\}$. (Of …
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