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Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan
| Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan |
| Autore | Bieri Robert |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Connections (Mathematics) Global differential geometry |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0363-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Cocompact is an open condition""; ""1.2. Controlled connectivity""; ""1.3. The Boundary Criterion""; ""1.4. The Geometric Invariants""; ""Part 1. Controlled connectivity and openness results""; ""Chapter 2. Outline, Main Results and Examples""; ""2.1. Non-positively curved spaces""; ""2.2. Controlled connectivity: the definition of CC[sup(n-1)]""; ""2.3. The case of discrete orbits""; ""2.4. The Openness Theorem""; ""2.5. Connections with Lie groups and local rigidity""; ""2.6. The new tool""; ""2.7. Summary of the core idea""
""2.8. SL[sup(2)] examples""""Chapter 3. Technicalities Concerning the CC[sup(n-1)]Property""; ""3.1. Local and global versions of CC[sup(n-1)]""; ""3.2. The Invariance Theorem""; ""Chapter 4. Finitary Maps and Sheaves of Maps""; ""4.1. Sheaves of maps""; ""4.2. G-sheaves""; ""4.3. Locally finite sheaves""; ""4.4. Embedding sheaves into homotopically closed sheaves""; ""4.5. Composing sheaves""; ""4.6. Homotopy of sheaves""; ""4.7. Finitary maps""; ""Chapter 5. Sheaves and Finitary Maps Over a Control Space""; ""5.1. Displacement function and norm""; ""5.2. Shift towards a point of M"" ""5.3. Contractions""""5.4. Guaranteed shift""; ""5.5. Defect of a sheaf""; ""Chapter 6. Construction of Sheaves with Positive Shift""; ""6.1. The case when dim X = 0""; ""6.2. Measuring the loss of guaranteed shift in an extension""; ""6.3. Imposing CAT(0)""; ""6.4. The main technical theorem""; ""Chapter 7. Controlled Connectivity as an Open Condition""; ""7.1. The topology on the set of all G-actions""; ""7.2. Continuous choice of control functions""; ""7.3. Imposing CAT(0)""; ""7.4. The Openness Theorem""; ""Chapter 8. Completion of the proofs of Theorems A and A'"" ""8.1. Controlled acyclicity""""8.2. The F[sub(n)] Criterion""; ""8.3. Proof of Theorem A""; ""8.4. Properly discontinuous actions""; ""Chapter 9. The Invariance Theorem""; ""Part 2. The geometric invariants""; ""Short summary of Part 2""; ""Chapter 10. Outline, Main Results and Examples""; ""10.1. The boundary of a CAT(0)-space""; ""10.2. CC[sup(n-1)] over end points""; ""10.3. The dynamical subset""; ""10.4. Openness results""; ""10.5. Endpoints versus points in M""; ""10.6. Fixed points and the BNSR-geometric invariant""; ""10.7. Examples"" ""Chapter 14. From CC[sup(n-1)] over Endpoints to Contractions"" |
| Record Nr. | UNINA-9910480949703321 |
Bieri Robert
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan
| Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan |
| Autore | Bieri Robert |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Connections (Mathematics) Global differential geometry |
| ISBN | 1-4704-0363-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Cocompact is an open condition""; ""1.2. Controlled connectivity""; ""1.3. The Boundary Criterion""; ""1.4. The Geometric Invariants""; ""Part 1. Controlled connectivity and openness results""; ""Chapter 2. Outline, Main Results and Examples""; ""2.1. Non-positively curved spaces""; ""2.2. Controlled connectivity: the definition of CC[sup(n-1)]""; ""2.3. The case of discrete orbits""; ""2.4. The Openness Theorem""; ""2.5. Connections with Lie groups and local rigidity""; ""2.6. The new tool""; ""2.7. Summary of the core idea""
""2.8. SL[sup(2)] examples""""Chapter 3. Technicalities Concerning the CC[sup(n-1)]Property""; ""3.1. Local and global versions of CC[sup(n-1)]""; ""3.2. The Invariance Theorem""; ""Chapter 4. Finitary Maps and Sheaves of Maps""; ""4.1. Sheaves of maps""; ""4.2. G-sheaves""; ""4.3. Locally finite sheaves""; ""4.4. Embedding sheaves into homotopically closed sheaves""; ""4.5. Composing sheaves""; ""4.6. Homotopy of sheaves""; ""4.7. Finitary maps""; ""Chapter 5. Sheaves and Finitary Maps Over a Control Space""; ""5.1. Displacement function and norm""; ""5.2. Shift towards a point of M"" ""5.3. Contractions""""5.4. Guaranteed shift""; ""5.5. Defect of a sheaf""; ""Chapter 6. Construction of Sheaves with Positive Shift""; ""6.1. The case when dim X = 0""; ""6.2. Measuring the loss of guaranteed shift in an extension""; ""6.3. Imposing CAT(0)""; ""6.4. The main technical theorem""; ""Chapter 7. Controlled Connectivity as an Open Condition""; ""7.1. The topology on the set of all G-actions""; ""7.2. Continuous choice of control functions""; ""7.3. Imposing CAT(0)""; ""7.4. The Openness Theorem""; ""Chapter 8. Completion of the proofs of Theorems A and A'"" ""8.1. Controlled acyclicity""""8.2. The F[sub(n)] Criterion""; ""8.3. Proof of Theorem A""; ""8.4. Properly discontinuous actions""; ""Chapter 9. The Invariance Theorem""; ""Part 2. The geometric invariants""; ""Short summary of Part 2""; ""Chapter 10. Outline, Main Results and Examples""; ""10.1. The boundary of a CAT(0)-space""; ""10.2. CC[sup(n-1)] over end points""; ""10.3. The dynamical subset""; ""10.4. Openness results""; ""10.5. Endpoints versus points in M""; ""10.6. Fixed points and the BNSR-geometric invariant""; ""10.7. Examples"" ""Chapter 14. From CC[sup(n-1)] over Endpoints to Contractions"" |
| Record Nr. | UNINA-9910788848403321 |
|
Bieri Robert
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan
| Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan |
| Autore | Bieri Robert |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Connections (Mathematics) Global differential geometry |
| ISBN | 1-4704-0363-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Cocompact is an open condition""; ""1.2. Controlled connectivity""; ""1.3. The Boundary Criterion""; ""1.4. The Geometric Invariants""; ""Part 1. Controlled connectivity and openness results""; ""Chapter 2. Outline, Main Results and Examples""; ""2.1. Non-positively curved spaces""; ""2.2. Controlled connectivity: the definition of CC[sup(n-1)]""; ""2.3. The case of discrete orbits""; ""2.4. The Openness Theorem""; ""2.5. Connections with Lie groups and local rigidity""; ""2.6. The new tool""; ""2.7. Summary of the core idea""
""2.8. SL[sup(2)] examples""""Chapter 3. Technicalities Concerning the CC[sup(n-1)]Property""; ""3.1. Local and global versions of CC[sup(n-1)]""; ""3.2. The Invariance Theorem""; ""Chapter 4. Finitary Maps and Sheaves of Maps""; ""4.1. Sheaves of maps""; ""4.2. G-sheaves""; ""4.3. Locally finite sheaves""; ""4.4. Embedding sheaves into homotopically closed sheaves""; ""4.5. Composing sheaves""; ""4.6. Homotopy of sheaves""; ""4.7. Finitary maps""; ""Chapter 5. Sheaves and Finitary Maps Over a Control Space""; ""5.1. Displacement function and norm""; ""5.2. Shift towards a point of M"" ""5.3. Contractions""""5.4. Guaranteed shift""; ""5.5. Defect of a sheaf""; ""Chapter 6. Construction of Sheaves with Positive Shift""; ""6.1. The case when dim X = 0""; ""6.2. Measuring the loss of guaranteed shift in an extension""; ""6.3. Imposing CAT(0)""; ""6.4. The main technical theorem""; ""Chapter 7. Controlled Connectivity as an Open Condition""; ""7.1. The topology on the set of all G-actions""; ""7.2. Continuous choice of control functions""; ""7.3. Imposing CAT(0)""; ""7.4. The Openness Theorem""; ""Chapter 8. Completion of the proofs of Theorems A and A'"" ""8.1. Controlled acyclicity""""8.2. The F[sub(n)] Criterion""; ""8.3. Proof of Theorem A""; ""8.4. Properly discontinuous actions""; ""Chapter 9. The Invariance Theorem""; ""Part 2. The geometric invariants""; ""Short summary of Part 2""; ""Chapter 10. Outline, Main Results and Examples""; ""10.1. The boundary of a CAT(0)-space""; ""10.2. CC[sup(n-1)] over end points""; ""10.3. The dynamical subset""; ""10.4. Openness results""; ""10.5. Endpoints versus points in M""; ""10.6. Fixed points and the BNSR-geometric invariant""; ""10.7. Examples"" ""Chapter 14. From CC[sup(n-1)] over Endpoints to Contractions"" |
| Record Nr. | UNINA-9910807038103321 |
|
Bieri Robert
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
General theory of lie groupoids and lie algebroids / Kirill C. H. Mackenzie
| General theory of lie groupoids and lie algebroids / Kirill C. H. Mackenzie |
| Autore | Mackenzie, Kirill C. H. |
| Pubbl/distr/stampa | Cambridge [England] ; New York : Cambridge University Press, 2005 |
| Descrizione fisica | xxxv, 501 p. : ill. ; 23 cm |
| Disciplina | 512.482 |
| Altri autori (Enti) | London Mathematical Society |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 213 |
| Soggetto topico |
Lie groupoids
Lie algebroids Vector bundles Connections (Mathematics) |
| ISBN | 0521499283 |
| Classificazione |
AMS 58H05
LC QA649.M329 AMS 22A22 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001262039707536 |
|
Mackenzie, Kirill C. H.
|
||
| Cambridge [England] ; New York : Cambridge University Press, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Steenrod connections and connectivity in H spaces / / James P. Lin
| Steenrod connections and connectivity in H spaces / / James P. Lin |
| Autore | Lin James P. <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Steenrod algebra
Connections (Mathematics) H-spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0785-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Â0. Introduction""; ""A. Connectivity""; ""B. Steenrod connections""; ""C. Primitivity of the mod 2 cohomology""; ""D. Coalgebra structure""; ""E. Mod 2 Hurewicz map""; ""F. Nonfinite H space""; ""G. Method of proof""; ""H. The nonassociative case""; ""Â1. SubHopf Algebras of H[sup(*)] (X ; Z[sub(2)])""; ""Â2. Some factorizations in the Steenrod algebra""; ""Â3. Indeterminacy arising from doubletons""; ""Â4. Some basic theorems""; ""Â5. Q[sup(2[sup(r)] +2[sup(r)]+1[sub(tâ€?1)])] = Sq[sup(2[sup(r)]k)] Q[sup(2[sup(r)] +2[sup(r)] kâ€?1)]""
""Â6. Applications""""Bibliography"" |
| Record Nr. | UNINA-9910480469703321 |
|
Lin James P. <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Steenrod connections and connectivity in H spaces / / James P. Lin
| Steenrod connections and connectivity in H spaces / / James P. Lin |
| Autore | Lin James P. <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Steenrod algebra
Connections (Mathematics) H-spaces |
| ISBN | 1-4704-0785-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Â0. Introduction""; ""A. Connectivity""; ""B. Steenrod connections""; ""C. Primitivity of the mod 2 cohomology""; ""D. Coalgebra structure""; ""E. Mod 2 Hurewicz map""; ""F. Nonfinite H space""; ""G. Method of proof""; ""H. The nonassociative case""; ""Â1. SubHopf Algebras of H[sup(*)] (X ; Z[sub(2)])""; ""Â2. Some factorizations in the Steenrod algebra""; ""Â3. Indeterminacy arising from doubletons""; ""Â4. Some basic theorems""; ""Â5. Q[sup(2[sup(r)] +2[sup(r)]+1[sub(tâ€?1)])] = Sq[sup(2[sup(r)]k)] Q[sup(2[sup(r)] +2[sup(r)] kâ€?1)]""
""Â6. Applications""""Bibliography"" |
| Record Nr. | UNINA-9910788884303321 |
|
Lin James P. <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Steenrod connections and connectivity in H spaces / / James P. Lin
| Steenrod connections and connectivity in H spaces / / James P. Lin |
| Autore | Lin James P. <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1987 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Steenrod algebra
Connections (Mathematics) H-spaces |
| ISBN | 1-4704-0785-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Abstract""; ""Â0. Introduction""; ""A. Connectivity""; ""B. Steenrod connections""; ""C. Primitivity of the mod 2 cohomology""; ""D. Coalgebra structure""; ""E. Mod 2 Hurewicz map""; ""F. Nonfinite H space""; ""G. Method of proof""; ""H. The nonassociative case""; ""Â1. SubHopf Algebras of H[sup(*)] (X ; Z[sub(2)])""; ""Â2. Some factorizations in the Steenrod algebra""; ""Â3. Indeterminacy arising from doubletons""; ""Â4. Some basic theorems""; ""Â5. Q[sup(2[sup(r)] +2[sup(r)]+1[sub(tâ€?1)])] = Sq[sup(2[sup(r)]k)] Q[sup(2[sup(r)] +2[sup(r)] kâ€?1)]""
""Â6. Applications""""Bibliography"" |
| Record Nr. | UNINA-9910817121003321 |
|
Lin James P. <1949->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
