000			02819nam a22004575i 4500
001			978-3-540-38117-4
003			DE-He213
005			20160624101804.0
007			cr nn 008mamaa
008			121227s1972 gw | s |||| 0|eng d
020			_a9783540381174 _9978-3-540-38117-4
024	7		_a10.1007/978-3-540-38117-4 _2doi
050		4	_aQA1-939
072		7	_aPB _2bicssc
072		7	_aMAT000000 _2bisacsh
082	0	4	_a510 _223
100	1		_aBousfield, Aldridge K. _eauthor.
245	1	0	_aHomotopy Limits, Completions and Localizations _h[electronic resource] / _cby Aldridge K. Bousfield, Daniel M. Kan.
260		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1972.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1972.
300			_aVIII, 352 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v304
505	0		_aCompletions and localizations -- The R-completion of a space -- Fibre lemmas -- Tower lemmas -- An R-completion of groups and its relation to the R-completion of spaces -- R-localizations of nilpotent spaces -- p-completions of nilpotent spaces -- A glimpse at the R-completion of non-nilpotent spaces -- Towers of fibrations, cosimplicial spaces and homotopy limits -- Simplicial sets and topological spaces -- Towers of fibrations -- Cosimplicial spaces -- Homotopy inverse limits -- Homotopy direct limits -- Errata -- Erratum to: The R-completion of a space -- Erratum to: Tower lemmas -- Erratum to: p-completions of nilpotent spaces.
520			_aThe main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. In part II of these notes, the authors have assembled some results on towers of fibrations, cosimplicial spaces and homotopy limits which were needed in the discussions of part I, but which are of some interest in themselves.
650		0	_aMathematics.
650	1	4	_aMathematics.
650	2	4	_aMathematics, general.
700	1		_aKan, Daniel M. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540061052
786			_dSpringer
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v304
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-38117-4
942			_2EBK674 _cEBK
999			_c29968 _d29968