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Hod Mice and the Mouse Set Conjecture

eBook ISBN: | 978-1-4704-2277-6 |
Product Code: | MEMO/236/1111.E |
List Price: | $89.00 |
MAA Member Price: | $80.10 |
AMS Member Price: | $53.40 |

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Hod Mice and the Mouse Set Conjecture
eBook ISBN: | 978-1-4704-2277-6 |
Product Code: | MEMO/236/1111.E |
List Price: | $89.00 |
MAA Member Price: | $80.10 |
AMS Member Price: | $53.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 236; 2015; 171 ppMSC: Primary 03
The author develops the theory of Hod mice below \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular”. He uses this theory to show that HOD of the minimal model of \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular” satisfies \(GCH\). Moreover, he shows that the Mouse Set Conjecture is true in the minimal model of \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular”.
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Table of Contents
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Chapters
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Introduction
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1. Hod mice
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2. Comparison theory of hod mice
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3. Hod mice revisited
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4. Analysis of HOD
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5. Hod pair constructions
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6. A proof of the mouse set conjecture
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A. Descriptive set theory primer
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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Volume: 236; 2015; 171 pp
MSC: Primary 03
The author develops the theory of Hod mice below \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular”. He uses this theory to show that HOD of the minimal model of \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular” satisfies \(GCH\). Moreover, he shows that the Mouse Set Conjecture is true in the minimal model of \(AD_{\mathbb{R}}+\) “\(\Theta\) is regular”.
-
Chapters
-
Introduction
-
1. Hod mice
-
2. Comparison theory of hod mice
-
3. Hod mice revisited
-
4. Analysis of HOD
-
5. Hod pair constructions
-
6. A proof of the mouse set conjecture
-
A. Descriptive set theory primer
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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