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Hod Mice and the Mouse Set Conjecture
 
Grigor Sargsyan Rutgers University, Piscataway, NJ
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
Hod Mice and the Mouse Set Conjecture
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Hod Mice and the Mouse Set Conjecture
Grigor Sargsyan Rutgers University, Piscataway, NJ
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2362015; 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”.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    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
Volume: 2362015; 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
Please select which format for which you are requesting permissions.