000			03509nam a22004813i 4500
001			EBC3114506
003			MiAaPQ
005			20240729124610.0
006			m o d |
007			cr cnu||||||||
008			240724s1997 xx o ||||0 eng d
020			_a9781470401955 _q(electronic bk.)
020			_z9780821806241
035			_a(MiAaPQ)EBC3114506
035			_a(Au-PeEL)EBL3114506
035			_a(CaPaEBR)ebr11041284
035			_a(OCoLC)922964941
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.7 -- .H68 1997eb
082	0		_a510 s;514/.24
100	1		_aHovey, Mark.
245	1	0	_aAxiomatic Stable Homotopy Theory.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1997.
264		4	_c©1997.
300			_a1 online resource (130 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.128
505	0		_aIntro -- Contents -- 1. Introduction and definitions -- 1.1. The axioms -- 1.2. Examples -- 1.3. Multigrading -- 1.4. Some basic definitions and results -- 2. Smallness, limits and constructibility -- 2.1. Notions of finiteness -- 2.2. Weak colimits and limits -- 2.3. Cellular towers and constructibility -- 3. Bousfield localization -- 3.1. Localization and colocalization functors -- 3.2. Existence of localization functors -- 3.3. Smashing and finite localizations -- 3.4. Geometric morphisms -- 3.5. Properties of localized subcategories -- 3.6. The Bousfield lattice -- 3.7. Rings, fields and minimal Bousfield classes -- 3.8. Bousfield classes of smashing localizations -- 4. Brown representability -- 4.1. Brown categories -- 4.2. Minimal weak colimits -- 4.3. Smashing localizations of Brown categories -- 4.4. A topology on [X, Y] -- 5. Nilpotence and thick subcategories -- 5.1. A naive nilpotence theorem -- 5.2. A thick subcategory theorem -- 6. Noetherian stable homotopy categories -- 6.1. Monochromatic subcategories -- 6.2. Thick subcategories -- 6.3. Localizing subcategories -- 7. Connective stable homotopy theory -- 8. Semisimple stable homotopy theory -- 9. Examples of stable homotopy categories -- 9.1. A general method -- 9.2. Chain complexes -- 9.3. he derived category of a ring -- 9.4. Homotopy categories of equivariant spectra -- 9.5. Cochain complexes of B-comodules -- 9.6. The stable category of B-modules -- 10. Future directions -- 10.1. Grading systems on stable homotopy categories -- 10.2. Other examples -- Appendix A. Background from category theory -- A.1. Triangulated categories -- A.2. Closed symmetric monoidal categories -- References -- Index.
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	_aHomotopy theory.
655		4	_aElectronic books.
700	1		_aPalmieri, John H.
700	1		_aStrickland, Neil P.
700	1		_aStrickland, Neil P.
776	0	8	_iPrint version: _aHovey, Mark _tAxiomatic Stable Homotopy Theory _dProvidence : American Mathematical Society,c1997 _z9780821806241
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114506 _zClick to View
999			_c70001 _d70001