LEADER 02504nam 2200577 450 001 9910818932403321 005 20180731045342.0 010 $a1-4704-0074-X 035 $a(CKB)3360000000464681 035 $a(EBL)3114027 035 $a(SSID)ssj0000888830 035 $a(PQKBManifestationID)11465742 035 $a(PQKBTitleCode)TC0000888830 035 $a(PQKBWorkID)10875469 035 $a(PQKB)11528169 035 $a(MiAaPQ)EBC3114027 035 $a(RPAM)3468661 035 $a(PPN)195413806 035 $a(EXLCZ)993360000000464681 100 $a20140911h19931993 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCoarse cohomology and index theory on complete Riemannian manifolds /$fJohn Roe 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1993. 210 4$dİ1993 215 $a1 online resource (106 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 497 300 $a"July 1993, Volume 104, Number 497 (fourth of 6 numbers)." 311 $a0-8218-2559-3 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Basic properties of coarse cohomology""; ""2.1. The uniformly bornologous categories""; ""2.2. Definition of coarse theory""; ""2.3. Examples""; ""2.4. Product structure on coarse theory""; ""Chapter 3. Computation of coarse cohomology""; ""3.1. Review of Cech theory""; ""3.2. The main theorem""; ""3.3. Alternative definitions of coarse theory""; ""3.4. When is c an isomorphism?""; ""3.5. Bornotopy""; ""3.6. Examples""; ""Chapter 4. Cyclic cohomology and index theory""; ""4.1. Operator algebras""; ""4.2. The Connes character map"" 327 $a""6.5. Applications to the signature operator""""6.6. Relation with the Novikov conjecture""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 497. 606 $aRiemannian manifolds 606 $aHomology theory 606 $aIndex theory (Mathematics) 615 0$aRiemannian manifolds. 615 0$aHomology theory. 615 0$aIndex theory (Mathematics) 676 $a516.3/73 700 $aRoe$b John$f1959-$01640620 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818932403321 996 $aCoarse cohomology and index theory on complete Riemannian manifolds$93984243 997 $aUNINA