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
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| Autore: |
Ferland Kevin K. <1969->
|
| Titolo: |
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
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| ©2004 | |
| Descrizione fisica: | 1 online resource (146 p.) |
| Disciplina: | 510 s |
| 514/.23 | |
| Soggetto topico: | Homology theory |
| Fiber spaces (Mathematics) | |
| Classifying spaces | |
| Algebraic topology | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | LewisL. G <1949-> (L. Gaunce) |
| 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"" | |
| Titolo autorizzato: | The RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z |
| ISBN: | 1-4704-0392-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480951403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 794.