000 | 03116nam a22004935i 4500 | ||
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001 | 978-3-540-38117-4 | ||
003 | DE-He213 | ||
005 | 20190213151429.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1972 gw | s |||| 0|eng d | ||
020 |
_a9783540381174 _9978-3-540-38117-4 |
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024 | 7 |
_a10.1007/978-3-540-38117-4 _2doi |
|
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_aPBP _2bicssc |
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_aMAT038000 _2bisacsh |
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_aPBP _2thema |
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082 | 0 | 4 |
_a514 _223 |
100 | 1 |
_aBousfield, Aldridge K. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aHomotopy Limits, Completions and Localizations _h[electronic resource] / _cby Aldridge K. Bousfield, Daniel M. Kan. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1972. |
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300 |
_aVIII, 352 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 | _aTopology. | |
650 | 0 | _aAlgebraic topology. | |
650 | 1 | 4 |
_aTopology. _0http://scigraph.springernature.com/things/product-market-codes/M28000 |
650 | 2 | 4 |
_aAlgebraic Topology. _0http://scigraph.springernature.com/things/product-market-codes/M28019 |
700 | 1 |
_aKan, Daniel M. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662199114 |
776 | 0 | 8 |
_iPrinted edition: _z9783540061052 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v304 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-38117-4 |
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