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The homology of iterated loop spaces / Frederick R. Cohen, Thomas J. Lada, J. Peter May
| The homology of iterated loop spaces / Frederick R. Cohen, Thomas J. Lada, J. Peter May |
| Autore | Cohen, Frederick Ronald |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1976 |
| Descrizione fisica | vii, 490 p. : ill. ; 25 cm |
| Disciplina | 514.23 |
| Altri autori (Persone) |
Lada, Thomas Josephauthor
May, J. Peter |
| Collana | Lecture notes in mathematics, 0075-8434 ; 533 |
| Soggetto topico |
Classifying spaces
Homology theory Homotopy theory Loop spaces |
| ISBN | 354007984X |
| Classificazione |
AMS 18G50
AMS 55P |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000985099707536 |
Cohen, Frederick Ronald
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| Berlin ; New York : Springer-Verlag, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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
| 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 |
| Autore | Ferland Kevin K. <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Fiber spaces (Mathematics) Classifying spaces Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0392-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480951403321 |
|
Ferland Kevin K. <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Autore | Ferland Kevin K. <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Fiber spaces (Mathematics) Classifying spaces Algebraic topology |
| ISBN | 1-4704-0392-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788745703321 |
|
Ferland Kevin K. <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Autore | Ferland Kevin K. <1969-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (146 p.) |
| Disciplina |
510 s
514/.23 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homology theory
Fiber spaces (Mathematics) Classifying spaces Algebraic topology |
| ISBN | 1-4704-0392-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910813658003321 |
|
Ferland Kevin K. <1969->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
