000			03290nam a22004813i 4500
001			EBC3114149
003			MiAaPQ
005			20240729124601.0
006			m o d |
007			cr cnu||||||||
008			240724s2011 xx o ||||0 eng d
020			_a9781470406233 _q(electronic bk.)
020			_z9780821853115
035			_a(MiAaPQ)EBC3114149
035			_a(Au-PeEL)EBL3114149
035			_a(CaPaEBR)ebr11039768
035			_a(OCoLC)922981658
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA169 -- .B84 2011eb
082	0		_a514.23
100	1		_aBühler, Theo.
245	1	0	_aOn the Algebraic Foundations of Bounded Cohomology.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2011.
264		4	_c©2011.
300			_a1 online resource (126 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.214
505	0		_aIntro -- Contents -- Introduction and Main Results -- 1. Reconstructing the Burger-Monod Theory -- 2. More Functoriality -- 3. Discrete Groups -- 4. Amenable Groups -- 5. 1-Homology and Bounded Cohomology for Spaces -- 6. The Canonical Semi-Norm -- Part 1. Triangulated Categories -- Chapter I. Triangulated Categories -- 1. Definition and Elementary Properties -- 2. Triangle Functors -- Chapter II. The Derived Category of an Exact Category -- 1. Verdier Localization -- 2. The Derived Category of an Exact Category -- 3. Derived Functors -- Chapter III. Abstract Truncation: t-Structures and Hearts -- 1. Introduction -- 2. Abstract Truncation -- Part 2. Homological Algebra for Bounded Cohomology -- Chapter IV. Categories of Banach Spaces -- 1. The Bicomplete Category of Banach Spaces -- 2. The Additive Category of Banach Spaces -- Chapter V. Derived Categories of Banach G-Modules -- 1. Discrete Groups -- 2. Some Remarks on Topological Groups -- Part 3. Appendices -- Appendix A. Mapping Cones, Homotopy Push-Outs, Mapping Cylinders -- 1. The Mapping Cone -- Appendix B. Pull-Back of Exact Structures -- Appendix C. Model Categories -- 1. Statement of the Result -- 2. Proof of Theorem 1.2.2 -- 3. Remarks -- Appendix D. Standard Borel G-Spaces are Regular -- 1. Representations Associated to a Group Action -- Appendix E. The Existence of Bruhat Functions -- 1. Proper Group Actions -- Bibliography.
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	_aDerived categories (Mathematics).
650		0	_aHomology theory.
650		0	_aFunctions of bounded variation.
650		0	_aTopological spaces.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBühler, Theo _tOn the Algebraic Foundations of Bounded Cohomology _dProvidence : American Mathematical Society,c2011 _z9780821853115
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114149 _zClick to View
999			_c69680 _d69680