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001			EBC3114314
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005			20240729124605.0
006			m o d |
007			cr cnu||||||||
008			240724s2015 xx o ||||0 eng d
020			_a9781470419684 _q(electronic bk.)
020			_z9781470409883
035			_a(MiAaPQ)EBC3114314
035			_a(Au-PeEL)EBL3114314
035			_a(CaPaEBR)ebr11040318
035			_a(OCoLC)922981910
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.36 -- .F754 2014eb
082	0		_a514/.224
100	1		_aFriedman, Joel.
245	1	0	_aSheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture.
250			_a1st ed.
264		1	_aProvidence, RI : _bAmerican Mathematical Society, _c2015.
264		4	_c©2014.
300			_a1 online resource (124 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.233
505	0		_aCover -- 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			_aIn 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			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic 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	_aSheaf theory.
650		0	_aVector spaces.
650		0	_aVector analysis.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aFriedman, Joel _tSheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture _dProvidence, RI : American Mathematical Society,c2015 _z9781470409883
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114314 _zClick to View
999			_c69826 _d69826