Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture. (Record no. 69826)
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000 -LEADER | |
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fixed length control field | 03314nam a22004813i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3114314 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124605.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s2015 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470419684 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9781470409883 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3114314 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3114314 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr11040318 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)922981910 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA612.36 -- .F754 2014eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 514/.224 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Friedman, Joel. |
245 10 - TITLE STATEMENT | |
Title | Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence, RI : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (124 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
490 1# - SERIES STATEMENT | |
Series statement | Memoirs of the American Mathematical Society ; |
Volume/sequential designation | v.233 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Cover -- Title page -- Preface -- Introduction -- Chapter 1. Foundations of Sheaves on Graphs and Their Homological Invariants -- 1.1. Introduction -- 1.2. Basic Definitions and Main Results -- 1.3. Galois and Covering Theory -- 1.4. Sheaf Theory and Homology -- 1.5. Twisted Cohomology -- 1.6. Maximum Excess and Supermodularity -- 1.7. ℎ₁^{ } and the Universal Abelian Covering -- 1.8. Proof of Theorem 1.10 -- 1.9. Concluding Remarks -- Chapter 2. The Hanna Neumann Conjecture -- 2.1. Introduction -- 2.2. The Strengthened Hanna Neumann Conjecture -- 2.3. Graph Theoretic Formulation of the SHNC -- 2.4. Galois and Covering Theory in the SHNC -- 2.5. -kernels -- 2.6. Symmetry and Algebra of the Excess -- 2.7. Variability of -th Power Kernels -- 2.8. Proof of the SHNC -- 2.9. Concluding Remarks -- Appendix A. A Direct View of -Kernels -- Appendix B. Joel Friedman's Proof of the strengthened Hanna Neumann conjecture by Warren Dicks -- B.1. Sheaves on graphs -- B.2. Free groups and graphs -- B.3. The strengthened Hanna Neumann conjecture -- Bibliography -- Back Cover. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Sheaf theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Vector spaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Vector analysis. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Friedman, Joel |
Title | Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture |
Place, publisher, and date of publication | Providence, RI : American Mathematical Society,c2015 |
International Standard Book Number | 9781470409883 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Memoirs of the American Mathematical Society |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114314">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114314</a> |
Public note | Click to View |
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