000			02738nam a22004573i 4500
001			EBC3113714
003			MiAaPQ
005			20240729124549.0
006			m o d |
007			cr cnu||||||||
008			240724s1984 xx o ||||0 eng d
020			_a9781470407018 _q(electronic bk.)
020			_z9780821822913
035			_a(MiAaPQ)EBC3113714
035			_a(Au-PeEL)EBL3113714
035			_a(CaPaEBR)ebr10882373
035			_a(OCoLC)884584483
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.7 -- .H35 1984eb
082	0		_a510 s;514/.24
100	1		_aHain, Richard M.
245	1	0	_aIterated Integrals and Homotopy Periods.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1984.
264		4	_c©1984.
300			_a1 online resource (104 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.47
505	0		_aIntro -- CONTENTS -- 1. INTRODUCTION -- 2. HOW TO COMPUTE ∏[sub(*)](M) ࣯ R USING DIFFERENTIAL FORMS -- The Whitehead Product -- The de Rham Theorem -- Power Series Connections -- The Main Theorem -- Appendix -- 3. NOTATION AND CONVENTIONS -- 4. POWER SERIES CONNECTIONS ON SEMISIMPLICIAL COMPLEXES -- Differentiable Spaces -- Polynomial Forms on an s.s.c. -- Connections on Cochain Algebras -- The Main Theorem -- 5. ITERATED INTEGRALS -- Loop Spaces -- Iterated Integrals -- Properties of Iterated Integrals -- 6. POWER SERIES CONNECTIONS REVISITED -- The Smoothing Lemma -- Loop Space Cohomology -- The Transport of a Connection -- The Lie Transport -- Uniqueness and Naturality of Power Series Connections -- Topological Interpretation of the Model -- 7. ITERATED INTEGRALS AND H0M0T0PY PERIODS -- Iterated integrals and Minimal Models -- 8. A PROOF OF THE SMOOTHING LEMMA -- 9. PROOFS OF THE RATIONAL LOOP SPACE HOLOMOGY AND COHOMOLOGY THEOREMS -- REFERENCES.
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.
650		0	_aMultiple integrals.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aHain, Richard M. _tIterated Integrals and Homotopy Periods _dProvidence : American Mathematical Society,c1984 _z9780821822913
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113714 _zClick to View
999			_c69246 _d69246