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Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture
with an Appendix by Warren Dicks
| eBook ISBN: | 978-1-4704-1968-4 |
| Product Code: | MEMO/233/1100.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
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Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture
with an Appendix by Warren Dicks
| eBook ISBN: | 978-1-4704-1968-4 |
| Product Code: | MEMO/233/1100.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 233; 2014; 106 ppMSC: Primary 20; 05; 55; 18; Secondary 14
In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.
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Table of Contents
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Chapters
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Preface
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Introduction
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1. Foundations of Sheaves on Graphs and Their Homological Invariants
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2. The Hanna Neumann Conjecture
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A. A Direct View of $\rho $-Kernels
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B. Joel Friedman’s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks
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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: 233; 2014; 106 pp
MSC: Primary 20; 05; 55; 18; Secondary 14
In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture.
-
Chapters
-
Preface
-
Introduction
-
1. Foundations of Sheaves on Graphs and Their Homological Invariants
-
2. The Hanna Neumann Conjecture
-
A. A Direct View of $\rho $-Kernels
-
B. Joel Friedman’s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks
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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