03576nam 2200637 450 991048095140332120180613001304.01-4704-0392-7(CKB)3360000000464978(EBL)3114521(SSID)ssj0000973886(PQKBManifestationID)11612102(PQKBTitleCode)TC0000973886(PQKBWorkID)10986294(PQKB)11784575(MiAaPQ)EBC3114521(PPN)195416813(EXLCZ)99336000000046497820030908h20042004 uy| 0engur|n|---|||||txtccrThe RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p /Kevin K. Ferland, L. Gaunce Lewis, JrProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (146 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 794"Volume 167, number 794 (fourth of 5 numbers)."0-8218-3461-4 Includes bibliographical references (page 129).""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""""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""""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""Memoirs of the American Mathematical Society ;no. 794.Homology theoryFiber spaces (Mathematics)Classifying spacesAlgebraic topologyElectronic books.Homology theory.Fiber spaces (Mathematics)Classifying spaces.Algebraic topology.510 s514/.23Ferland Kevin K.1969-918211Lewis L. G(L. Gaunce),1949-MiAaPQMiAaPQMiAaPQBOOK9910480951403321The RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z2058828UNINA