000			03486nam a22004813i 4500
001			EBC3113475
003			MiAaPQ
005			20240729124544.0
006			m o d |
007			cr cnu||||||||
008			240724s1980 xx o ||||0 eng d
020			_a9781470406349 _q(electronic bk.)
020			_z9780821822302
035			_a(MiAaPQ)EBC3113475
035			_a(Au-PeEL)EBL3113475
035			_a(CaPaEBR)ebr10882134
035			_a(OCoLC)922981109
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.76 -- .B38 1980eb
082	0		_a510 s;514/.224
100	1		_aBaues, Hans J.
245	1	0	_aGeometry of Loop Spaces and the Cobar Construction.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1980.
264		4	_c©1980.
300			_a1 online resource (194 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.25
505	0		_aIntro -- Contents -- Introduction -- Prologue -- Chapter I: The bar and cobar constructions -- 1 The geometric bar construction -- 2 The geometric cobar construction for simplicial spaces -- 3 The algebraic bar and cobar constructions -- Appendix 1: The cobar construction of Adams -- Appendix 2: Loop spaces of projective spaces -- 4 Adjunction and strongly homotopy multiplicative maps -- Chapter II: A model theorem for loop spaces -- 1 Realization of functors -- Appendix: DI categories with retractions -- 2 A model theorem for loop spaces -- 3 Approximation of path spaces -- 4 Proof of the model theorem -- Chapter III: On the desuspension of model functors -- 1 Abstract complexes -- 2 Model functors and their desuspension by cellular strings -- Appendix: Reduced model functors and iterated loop spaces -- 3 Cellular strings in the simplex -- 4 Cellular strings in the cube -- 5 Simplicial subdivision of cubes and cubical subdivision of parallelohedra -- 6 Cellular strings in products of simplices -- 7 Cellular strings in the parallelohedron C[sup(n)] -- Chapter IV: Applications -- 1 The geometric cobar construction -- 2 A diagonal for the cobar construction and a model for the double loop space of a simplicial space -- 3 CW-models of Milgram for Ω[sup(n)]Σ[sup(n)]× -- Appendix: The cellular chain complex of the Milgram models -- 4 A CW-model for Ω[sup(n)]S[sup(n)] -- 5 A model for ΩΩ[sup(n)]Σ[sup(n)]× -- Appendix: On the suspension of Hopf maps -- References -- Index -- A -- B -- C -- D -- E -- F -- H -- I -- J -- K -- L -- M -- O -- P -- R -- S -- T -- V -- W.
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	_aLoop spaces.
650		0	_aCobar construction (Topology).
650		0	_aFunctor theory.
650		0	_aComplexes, Semisimplicial.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBaues, Hans J. _tGeometry of Loop Spaces and the Cobar Construction _dProvidence : American Mathematical Society,c1980 _z9780821822302
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113475 _zClick to View
999			_c69009 _d69009