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https://math.berkeley.edu/~steel/talks/jensenmeet.pdf
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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 …
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- 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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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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Springer
https://link.springer.com/chapter/10.1007/978-1-4020-5764-9_20
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 …
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Inner Model Theory
Canonical Inner Models
Publish Year:2010
MathOverflow
https://mathoverflow.net/questions/356597/inner...
set theory - Inner models with all sets generic
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 …
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What is inner model theory?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 building minimal and canonical models for large cardinals has been used to calibrate lower bounds of set-theoretic statements.
An exceptional review about inner model theory
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What is an inner model of a set theory?In set theory, a branch of mathematical logic, an inner model 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 ordinals of M . Let L = ⟨∈⟩ be the language of set theory.
Inner model - Wikipedia
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What is a smaller class of inner models?One can obtain a deeper analysis of a smaller class of inner models by restricting to models satisfying at most “There is a strong cardinal” (and therefore having only 1 3 reals). The basic theory of this smaller class of models is significantly simpler, especially with regard to the structure of the iterated ultrapowers it uses.
An Outline of Inner Model Theory - University of California, Berkeley
math.berkeley.edu
How are inner models constructed?Inner models in the papers discussed above are typically constructed via a procedure called the full backgrounded construction. This means the extenders giving rise to the model L[ E]~ come from extenders in V (and these in turn exist because one assumes an appropriate large cardinal hypothesis holds in V ).
A BRIEF ACCOUNT OF RECENT DEVELOPMENTS IN INNER MODEL TH…
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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 …
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Inner Model Theory
Axiom of Regularity
Zermelo–Fraenkel Set Theory
UCB Mathematics
https://math.berkeley.edu/~steel/papers/steel1.pdf
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An Outline of Inner Model Theory - University of …
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 …
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Inner Model Theory
Canonical Inner Models
Publish Year:2010
Department of Mathematics
https://math.unt.edu/~ntrang/IMTre.pdf
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A BRIEF ACCOUNT OF RECENT …
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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arXiv.org
https://arxiv.org/pdf/2007.10766.pdf
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Inner Models from Extended Logics: Part 2∗ - arXiv.org
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 …
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Inner Model Theory
Set Theory
Springer
https://link.springer.com/chapter/10.1007/978-1-4020-5764-9_18
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 …
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Set Theory
Publish Year:2010
Beginning Inner Model Theory
readthedocs.io
https://cc-lecture.readthedocs.io/en/latest/cc_models.html
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 …
arXiv.org
https://arxiv.org/pdf/1206.2712.pdf
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Descriptiveinnermodeltheory ∗† - arXiv.org
WEBDescriptive inner model theory is the theory behind the approach to the inner model prob- lem described above. Its main technical goal is to construct canonical models of …
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Canonical Inner Models
De Gruyter
https://www.degruyter.com/document/doi/10.1515/9783110857818/html
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 …
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Inner Models and Large Cardinals
arXiv.org
https://arxiv.org/pdf/2103.13961.pdf
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GabrielGoldberg arXiv:2103.13961v2 [math.LO] 2 Nov 2021
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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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 …
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Inner Models and Large Cardinals
Wikipedia
https://en.wikipedia.org/wiki/Category:Inner_model_theory
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 …
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Inner Model Theory
Inner Models and Large Cardinals
Springer
https://link.springer.com/content/pdf/10.1007/978-1-4020-5764-9_18.pdf
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17. Beginning Inner Model Theory - Springer
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 …
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Publish Year:2010
William J. Mitchell
Beginning Inner Model Theory
Mathematics Stack Exchange
https://math.stackexchange.com/questions/618780/...
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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Canonical Model vs. Logical Model
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Innerjoy Home Health Services in Simi Valley - Home Health …
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WEBN-scale model kit of the Pioneer Oil Refinery and Andrew's Station in Newhall, developed by San Francisco architect and master model railroader Thomas R. Knapp, AIA. …
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SG Construction & Framing
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