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[null,"1.","Record Nr.",null,"UNINA9910480949703321"]
[null,null,"Autore",null,"Bieri Robert"]
[null,null,"Titolo",null,"Connectivity properties of group actions on non-positively curved spaces / / Robert Bieri, Ross Geoghegan"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2003"]
[null,null,"ISBN",null,"1-4704-0363-3"]
[null,null,"Descrizione fisica",null,"1 online resource (105 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 765"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"512/.2"]
[null,null,"Soggetti",null,"Geometric group theory"]
[{"$nulls":4},"Connections (Mathematics)"]
[{"$nulls":4},"Global differential geometry"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"January 2003, volume 161, number 765 (second of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 81-83)."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"2.8. SL[sup(2)] examples\"\"\"\"Chapter 3. Technicalities Concerning the CC[sup(n-1)]Property\"\"; \"\"3.1. Local and global versions of CC[sup(n-1)]\"\"; \"\"3.2. The Invariance Theorem\"\"; \"\"Chapter 4. Finitary Maps and Sheaves of Maps\"\"; \"\"4.1. Sheaves of maps\"\"; \"\"4.2. G-sheaves\"\"; \"\"4.3. Locally finite sheaves\"\"; \"\"4.4. Embedding sheaves into homotopically closed sheaves\"\"; \"\"4.5. Composing sheaves\"\"; \"\"4.6. Homotopy of sheaves\"\"; \"\"4.7. Finitary maps\"\"; \"\"Chapter 5. Sheaves and Finitary Maps Over a Control Space\"\"; \"\"5.1. Displacement function and norm\"\"; \"\"5.2. Shift towards a point of M\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"an extension\"\"; \"\"6.3. Imposing CAT(0)\"\"; \"\"6.4. The main technical theorem\"\"; \"\"Chapter 7. Controlled Connectivity as an Open Condition\"\"; \"\"7.1. The topology on the set of all G-actions\"\"; \"\"7.2. Continuous choice of control functions\"\"; \"\"7.3. Imposing CAT(0)\"\"; \"\"7.4. The Openness Theorem\"\"; \"\"Chapter 8. Completion of the proofs of Theorems A and A'\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"Chapter 14. From CC[sup(n-1)] over Endpoints to Contractions\"\""]