The RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p / / Kevin K. Ferland, L. Gaunce Lewis, Jr

• Record Nr.: UNINA9910480951403321
• Autore: Ferland Kevin K. <1969->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2004]; ©2004
• ISBN: 1-4704-0392-7
• Descrizione fisica: 1 online resource (146 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 794
• Disciplina: 510 s; 514/.23
• Soggetti: Homology theory; Fiber spaces (Mathematics); Classifying spaces; Algebraic topology; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 167, number 794 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references (page 129).
• Nota di contenuto: ""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""