000			04073nam a22004813i 4500
001			EBC3114507
003			MiAaPQ
005			20240729124610.0
006			m o d |
007			cr cnu||||||||
008			240724s2012 xx o ||||0 eng d
020			_a9780821890141 _q(electronic bk.)
020			_z9780821869024
035			_a(MiAaPQ)EBC3114507
035			_a(Au-PeEL)EBL3114507
035			_a(CaPaEBR)ebr11041285
035			_a(OCoLC)922964948
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.78 -- .B447 2011eb
082	0		_a514/.24
100	1		_aBehrens, Mark.
245	1	0	_aGoodwillie Tower and the EHP Sequence.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2012.
264		4	_c©2011.
300			_a1 online resource (109 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.218
505	0		_aIntro -- Contents -- Abstract -- Introduction -- 0.1. Conventions -- Chapter 1. Dyer-Lashof operations and the identity functor -- 1.1. The operadic bar construction -- 1.2. The cooperadic structure on B() -- 1.3. Operad structure on *(Id) -- 1.4. Homology of extended powers -- 1.5. Dyer-Lashof-like operations -- Chapter 2. The Goodwillie tower of the EHP sequence -- 2.1. Fiber sequences associated to the EHP sequence -- 2.2. Homological behavior of the fiber sequences -- 2.3. Transfinite Atiyah-Hirzebruch spectral sequences -- 2.4. Transfinite Goodwillie spectral sequence -- Chapter 3. Goodwillie filtration and the P map -- 3.1. Goodwillie filtration -- 3.2. The genealogy of unstable elements -- 3.3. Behavior of the E and P maps in the TAHSS -- 3.4. Behavior of the E and P maps in the TGSS -- 3.5. Detection in the TGSS -- 3.6. Relationship with Whitehead products -- Chapter 4. Goodwillie differentials and Hopf invariants -- 4.1. Hopf invariants and the transfinite EHPSS -- 4.2. Stable Hopf invariants and metastable homotopy -- 4.3. Goodwillie d1 differentials and stable Hopf invariants -- 4.4. Higher Goodwillie differentials and unstable Hopf invariants -- 4.5. Propagating differentials with the P and E maps -- 4.6. Calculus form of the Whitehead conjecture -- 4.7. Exotic Goodwillie differentials -- Chapter 5. EHPSS differentials -- 5.1. EHPSS naming conventions -- 5.2. Using the TGSS to compute the H map -- 5.3. TEHPSS differentials from TGSS differentials -- 5.4. A bad differential -- Chapter 6. Calculations in the 2-primary Toda range -- 6.1. AHSS calculations -- 6.2. Calculation of the GSS for S1 -- 6.3. GSS calculations -- 6.4. Calculation of the EHPSS -- 6.5. Tables of computations -- 6.5.1. The AHSS for k(L(1)) -- 6.5.2. The AHSS for k(L(2)) -- 6.5.3. The AHSS for k(L(3)) -- 6.5.4. The EHPSS -- 6.5.5. The GSS for n+1(S1).
505	8		_a6.5.6. The GSS for n+2(S2) -- 6.5.7. The GSS for n+3(S3) -- 6.5.8. The GSS for n+4(S4) -- 6.5.9. The GSS for n+5(S5) -- 6.5.10. The GSS for n+6(S6) -- Appendix A. Transfinite spectral sequences associated to towers -- A.1. The Grothendieck group of ordinals -- A.2. Towers -- A.3. The transfinite homotopy spectral sequence of a tower -- A.4. Geometric boundary theorem -- 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	_aHomotopy groups.
650		0	_aAlgebraic topology.
650		0	_aSpectral sequences (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBehrens, Mark _tGoodwillie Tower and the EHP Sequence _dProvidence : American Mathematical Society,c2012 _z9780821869024
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114507 _zClick to View
999			_c70002 _d70002