LEADER 03576nam 2200637 450 001 9910480951403321 005 20180613001304.0 010 $a1-4704-0392-7 035 $a(CKB)3360000000464978 035 $a(EBL)3114521 035 $a(SSID)ssj0000973886 035 $a(PQKBManifestationID)11612102 035 $a(PQKBTitleCode)TC0000973886 035 $a(PQKBWorkID)10986294 035 $a(PQKB)11784575 035 $a(MiAaPQ)EBC3114521 035 $a(PPN)195416813 035 $a(EXLCZ)993360000000464978 100 $a20030908h20042004 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p /$fKevin K. Ferland, L. Gaunce Lewis, Jr 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2004] 210 4$dİ2004 215 $a1 online resource (146 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 794 300 $a"Volume 167, number 794 (fourth of 5 numbers)." 311 $a0-8218-3461-4 320 $aIncludes bibliographical references (page 129). 327 $a""Contents""; ""Introduction""; ""Part 1. The Homology of Z/p-Cell Complexes with Even-Dimensional Cells""; ""Chapter 1. Preliminaries""; ""1.1. Mackey functors for Z/p""; ""1.2. RO(G)-graded Mackey functor-valued homology""; ""1.3. The homology H[sub(*)] of a point""; ""1.4. Modules over H[sub(*)]""; ""1.5. Rep*(G)-cell complexes""; ""Chapter 2. The main freeness theorem (Theorem 2.6)""; ""Chapter 3. An outline of the proof of the main freeness result (Theorem 2.6)""; ""3.1. The freeness results for adding a single cell""; ""3.2. Colimits of diagrams of free H[sub(*)]-modules"" 327 $a""3.3. Completing the proof of the main freeness theorem""""Chapter 4. Proving the single-cell freeness results""; ""4.1. A proof overview for the dimension-shifting theorem (Theorem 3.3)""; ""4.2. Simplifying the cell-attaching long exact sequence""; ""4.3. Characterizing dimension-shifting long exact sequences""; ""4.4. Constructing the comparison dimension-shifting sequence""; ""Chapter 5. Computing H[sup(G)][sub(*)] (B U DV; A) in the key dimensions""; ""5.1. Using the Universal Coefficient Theorem""; ""5.2. Constructing the maps of the comparison sequence"" 327 $a""Part 2. Observations about RO(G)-graded equivariant ordinary homology""""Chapter 8. The computation of H[sup(s)][sub(*)] for arbitrary S""; ""Chapter 9. Examples of H[sup(s)][sub(*)]""; ""Chapter 10. RO(G)-graded box products""; ""Chapter 11. A weak Universal Coefficient Theorem""; ""Chapter 12. Observations about Mackey functors""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 794. 606 $aHomology theory 606 $aFiber spaces (Mathematics) 606 $aClassifying spaces 606 $aAlgebraic topology 608 $aElectronic books. 615 0$aHomology theory. 615 0$aFiber spaces (Mathematics) 615 0$aClassifying spaces. 615 0$aAlgebraic topology. 676 $a510 s 676 $a514/.23 700 $aFerland$b Kevin K.$f1969-$0918211 702 $aLewis$b L. G$g(L. Gaunce),$f1949- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480951403321 996 $aThe RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z$92058828 997 $aUNINA