LEADER 02797nam 2200601 450 001 996466613503316 005 20220412142841.0 010 $a3-540-48449-3 024 7 $a10.1007/BFb0094429 035 $a(CKB)1000000000437390 035 $a(SSID)ssj0000321793 035 $a(PQKBManifestationID)12115907 035 $a(PQKBTitleCode)TC0000321793 035 $a(PQKBWorkID)10280801 035 $a(PQKB)10137975 035 $a(DE-He213)978-3-540-48449-3 035 $a(MiAaPQ)EBC5595078 035 $a(Au-PeEL)EBL5595078 035 $a(OCoLC)1076234421 035 $a(MiAaPQ)EBC6842513 035 $a(Au-PeEL)EBL6842513 035 $a(OCoLC)1292352008 035 $a(PPN)155223437 035 $a(EXLCZ)991000000000437390 100 $a20220304d1995 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aCellular spaces, null spaces and homotopy localization /$fEmmanuel Dror Farjoun 205 $a1st ed. 1996. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (XIV, 206 p.) 225 1 $aLecture Notes in Mathematics ;$v1622 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-60604-1 327 $aCoaugmented homotopy idempotent localization functors -- Augmented homotopy idempotent functors -- Commutation rules for ?, Lf and CWA, preservation of fibrations and cofibrations -- Dold-Thom symmetric products and other colimits -- General theory of fibrations, GEM error terms -- Homological localization nearly preserves fibrations -- Classification of nullity and cellular types of finite p-torsion suspension spaces -- v 1-periodic spaces and K-theory -- Cellular inequalities. 330 $aIn this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1622. 606 $aLocalization theory 615 0$aLocalization theory. 676 $a512.4 686 $a55P60$2msc 700 $aFarjoun$b Emmanuel$f1944-$0247780 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466613503316 996 $aCellular spaces, null spaces and homotopy localization$983443 997 $aUNISA