LEADER 04874nam 2201189 a 450 001 9910779468903321 005 20230803020246.0 010 $a1-4008-4652-8 010 $a1-299-05144-8 024 7 $a10.1515/9781400846528 035 $a(CKB)2550000000996711 035 $a(EBL)1114887 035 $a(OCoLC)828077867 035 $a(SSID)ssj0000822546 035 $a(PQKBManifestationID)11442046 035 $a(PQKBTitleCode)TC0000822546 035 $a(PQKBWorkID)10760684 035 $a(PQKB)10049062 035 $a(MiAaPQ)EBC1114887 035 $a(StDuBDS)EDZ0001756468 035 $a(DE-B1597)453494 035 $a(OCoLC)933516592 035 $a(OCoLC)990531966 035 $a(DE-B1597)9781400846528 035 $a(Au-PeEL)EBL1114887 035 $a(CaPaEBR)ebr10652016 035 $a(CaONFJC)MIL436394 035 $a(EXLCZ)992550000000996711 100 $a20121220d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpaces of PL manifolds and categories of simple maps$b[electronic resource] /$fFriedhelm Waldhausen, Bjørn Jahren and John Rognes 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2013 215 $a1 online resource (193 p.) 225 0 $aAnnals of Mathematics Studies ;$v210 225 0$aAnnals of mathematics studies ;$vno. 186 300 $aDescription based upon print version of record. 311 $a0-691-15775-8 311 $a0-691-15776-6 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tIntroduction --$t1. The stable parametrized h-cobordism theorem --$t2. On simple maps --$t3. The non-manifold part --$t4. The manifold part --$tBibliography --$tSymbols --$tIndex 330 $aSince its introduction by Friedhelm Waldhausen in the 1970's, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhausen's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a "desingularization," improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections. 410 0$aAnnals of Mathematics Studies 606 $aPiecewise linear topology 606 $aMappings (Mathematics) 610 $aCAT Whitehead space. 610 $aCAT manifold. 610 $aEuclidean neighborhood retract. 610 $aEuclidean polyhedra. 610 $aPL Serre fibration. 610 $aPL Whitehead space. 610 $aPL homeomorphism. 610 $aPL manifold. 610 $aQuillen's Theorem A. 610 $aQuillen's Theorem B. 610 $aabsolute neighborhood retract. 610 $aalgebraic K-theory of spaces. 610 $aalgebraic K-theory. 610 $aapproximate lifting property. 610 $acofibration. 610 $adegeneracy operator. 610 $adesingularization. 610 $afinite simplicial set. 610 $ah-cobordism theorem. 610 $ahomotopy equivalence. 610 $ahomotopy fiber sequence. 610 $ahorn. 610 $amanifold space. 610 $amanifold. 610 $an-manifolds. 610 $anormal subdivision. 610 $apolyhedral realization. 610 $aq-simplex. 610 $areduced mapping cylinder. 610 $asimple map. 610 $asimplicial set. 610 $aspace. 610 $astabilization map. 610 $astable parametrized h-cobordism theorem. 610 $atangent microbundle. 610 $athickening. 610 $atriangulation. 610 $aweak homotopy equivalence. 610 $a?ech homotopy type. 615 0$aPiecewise linear topology. 615 0$aMappings (Mathematics) 676 $a514/.22 686 $aSI 830$2rvk 700 $aWaldhausen$b Friedhelm$f1938-$01490582 701 $aJahren$b Bjørn$f1945-$01490583 701 $aRognes$b John$0521348 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910779468903321 996 $aSpaces of PL manifolds and categories of simple maps$93712037 997 $aUNINA LEADER 03717nam 2200625Ia 450 001 9910782241103321 005 20230421044225.0 010 $a1-281-81424-5 010 $a9786611814243 010 $a0-567-37739-3 035 $a(CKB)1000000000542199 035 $a(EBL)436614 035 $a(OCoLC)276348432 035 $a(SSID)ssj0000335797 035 $a(PQKBManifestationID)12143704 035 $a(PQKBTitleCode)TC0000335797 035 $a(PQKBWorkID)10277468 035 $a(PQKB)10612650 035 $a(MiAaPQ)EBC436614 035 $a(Au-PeEL)EBL436614 035 $a(CaPaEBR)ebr10250788 035 $a(CaONFJC)MIL181424 035 $a(OCoLC)893334150 035 $a(EXLCZ)991000000000542199 100 $a19990428d1998 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChronicles and Exodus$b[electronic resource] $ean analogy and its application /$fWilliam Johnstone 210 $aSheffield, England $cSheffield Academic Press$dc1998 215 $a1 online resource (337 p.) 225 1 $aJournal for the study of the Old Testament. Supplement series ;$v275 300 $aDescription based upon print version of record. 311 $a0-567-22326-4 311 $a1-85075-881-6 327 $aContents; Abbreviations; Chapter 1 INTRODUCTION; Part I: THE PROPOSAL: CHRONICLES AS GATEWAY TO PENTATEUCHAL CRITICISM; Chapter 2 CHRONICLES, CANONS AND CONTEXTS; Chapter 3 THE EXODUS AS PROCESS; Part II: LOOKING AT THE GATEWAY: CHRONICLES IN ITSELF AND IN ITS RELATION TO THE PENTATEUCH; Chapter 4 GUILT AND ATONEMENT: THE THEME OF 1 AND 2 CHRONICLES; Chapter 5 THE USE OF LEVITICUS IN CHRONICLES; Chapter 6 PROSPECTIVE ATONEMENT: THE USE OF EXODUS 30.11-16 IN 1 CHRONICLES 21; Part III: LOOKING THROUGH THE GATEWAY: APPLYING THE ANALOGY TO THE PENTATEUCH 327 $aChapter 7 REACTIVATING THE CHRONICLES ANALOGY IN PENTATEUCHAL STUDIES, WITH SPECIAL REFERENCE TO THE SINAI PERICOPE IN EXODUSChapter 8 THE DECALOGUE AND THE REDACTION OF THE SINAI PERICOPE IN EXODUS; Chapter 9 THE TWO THEOLOGICAL VERSIONS OF THE PASSOVER PERICOPE IN EXODUS; Chapter 10 THE DEUTERONOMISTIC CYCLES OF 'SIGNS' AND 'WONDERS' IN EXODUS 1-13; Chapter 11 FROM THE SEA TO THE MOUNTAIN. EXODUS 15.22-19.2: A CASE STUDY IN EDITORIAL TECHNIQUES; Chapter 12 FROM THE MOUNTAIN TO KADESH, WITH SPECIAL REFERENCE TO EXODUS 32.30-34.29; Part IV: THE VIEW BEYOND 327 $aChapter 13 SOLOMON'S PRAYER (2 CHRONICLES 6): IS INTENTIONALISM SUCH A FALLACY?Chapter 14 JUSTIFICATION BY FAITH REVISITED; Index of References; Index of Authors; A; B; C; D; E; F; G; H; J; K; L; M; N; O; P; R; S; T; V; W; Z 330 $aThis collection of inter-related essays argues that the way in which Chronicles incorporates and develops material from Samuel-Kings offers an analogy for the way in which the final edition of Exodus was produced. Embedded within the text of Exodus there is an earlier Deuteronomistic version recoverable from the reminiscences of the exodus in Deuteronomy. This, it is suggested, is the most objective method available for recreating the literary history of Exodus and must constitute the first stage in any analysis of Exodus. Already, it produces some surprisingly radical results. 410 0$aJournal for the study of the Old Testament.$pSupplement series ;$v275. 606 $aTheology 615 0$aTheology. 676 $a222 676 $a222.606 676 $a222/.606 700 $aJohnstone$b William$0877543 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782241103321 996 $aChronicles and Exodus$93757449 997 $aUNINA