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MARC Lista (tabellare)
Algebra VII : combinatorial group theory applications to geometry / eds. A. N. Parshin, I. R. Shafarevich
Algebra VII : combinatorial group theory applications to geometry / eds. A. N. Parshin, I. R. Shafarevich
Autore Parshin, A. N.
Edizione [Engl. ed]
Pubbl/distr/stampa Berlin : Springer-Verlag, c1993
Descrizione fisica 240 p. ; 24 cm.
Disciplina 512.22
Altri autori (Persone) Shafarevich, Igor Rostislavovich
Collana Encyclopaedia of mathematical sciences, 0938-0396 ; 58
Soggetto topico Combinatorial group theory
Geometric group theory
ISBN 3540547002
Classificazione AMS 00A20
AMS 08A50
AMS 20E
AMS 20F
AMS 20H10
AMS 20J05
AMS 57M
AMS 57N10
AMS 68Q68
QA182.5A43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000654989707536
Parshin, A. N.  
Berlin : Springer-Verlag, c1993
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Axes in outer space / / Michael Handel, Lee Mosher
Axes in outer space / / Michael Handel, Lee Mosher
Autore Handel Michael <1949->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (104 p.)
Disciplina 514.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometric group theory
Low-dimensional topology
Soggetto genere / forma Electronic books.
ISBN 1-4704-0621-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Characterizations of the axis bundle""; ""1.2. The main theorems""; ""1.3. A question of Vogtmann""; ""1.4. Contents and proofs""; ""1.5. Problems and questions""; ""Chapter 2. Preliminaries""; ""2.1. Outer space and outer automorphisms""; ""2.2. Paths, circuits and edge paths""; ""2.3. Folds""; ""2.4. Train track maps""; ""2.5. The attracting tree T+""; ""2.6. Geodesic laminations in trees and marked graphs""; ""2.7. The expanding lamination -""; ""2.8. Relating - to T- and to T+""; ""Chapter 3. The ideal Whitehead graph""
""3.1. Definition and structure of the ideal Whitehead graph""""3.2. Asymptotic leaves and the ideal Whitehead graph""; ""3.3. T+ and the ideal Whitehead graph""; ""3.4. An example of an ideal Whitehead graph""; ""Chapter 4. Cutting and pasting local stable Whitehead graphs""; ""4.1. Pasting local stable Whitehead graphs""; ""4.2. Cutting local stable Whitehead graphs""; ""4.3. The finest local decomposition""; ""Chapter 5. Weak train tracks""; ""5.1. Local decomposition of the ideal Whitehead graph""; ""5.2. Folding up to a weak train track""
""5.3. Comparing train tracks to weak train tracks""""5.4. Rigidity and irrigidity of - isometries""; ""5.5. Examples of exceptional weak train tracks""; ""Chapter 6. Topology of the axis bundle""; ""6.1. Continuity properties of the normalized axis bundle""; ""6.2. The Gromov topology on weak train tracks""; ""6.3. Properness of the length map""; ""6.4. Applying Skora's method to the Properness Theorem 6.1""; ""6.5. Remarks on stable train tracks""; ""Chapter 7. Fold lines""; ""7.1. Examples of fold paths""; ""7.2. Characterizing fold lines""; ""7.3. Direct limits of fold rays""
""7.4. Legal laminations of split rays""""7.5. Weak train tracks on fold lines""; ""Bibliography""
Record Nr. UNINA-9910480983703321
Handel Michael <1949->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Axes in outer space / / Michael Handel, Lee Mosher
Axes in outer space / / Michael Handel, Lee Mosher
Autore Handel Michael <1949->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (104 p.)
Disciplina 514.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometric group theory
Low-dimensional topology
ISBN 1-4704-0621-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Characterizations of the axis bundle""; ""1.2. The main theorems""; ""1.3. A question of Vogtmann""; ""1.4. Contents and proofs""; ""1.5. Problems and questions""; ""Chapter 2. Preliminaries""; ""2.1. Outer space and outer automorphisms""; ""2.2. Paths, circuits and edge paths""; ""2.3. Folds""; ""2.4. Train track maps""; ""2.5. The attracting tree T+""; ""2.6. Geodesic laminations in trees and marked graphs""; ""2.7. The expanding lamination -""; ""2.8. Relating - to T- and to T+""; ""Chapter 3. The ideal Whitehead graph""
""3.1. Definition and structure of the ideal Whitehead graph""""3.2. Asymptotic leaves and the ideal Whitehead graph""; ""3.3. T+ and the ideal Whitehead graph""; ""3.4. An example of an ideal Whitehead graph""; ""Chapter 4. Cutting and pasting local stable Whitehead graphs""; ""4.1. Pasting local stable Whitehead graphs""; ""4.2. Cutting local stable Whitehead graphs""; ""4.3. The finest local decomposition""; ""Chapter 5. Weak train tracks""; ""5.1. Local decomposition of the ideal Whitehead graph""; ""5.2. Folding up to a weak train track""
""5.3. Comparing train tracks to weak train tracks""""5.4. Rigidity and irrigidity of - isometries""; ""5.5. Examples of exceptional weak train tracks""; ""Chapter 6. Topology of the axis bundle""; ""6.1. Continuity properties of the normalized axis bundle""; ""6.2. The Gromov topology on weak train tracks""; ""6.3. Properness of the length map""; ""6.4. Applying Skora's method to the Properness Theorem 6.1""; ""6.5. Remarks on stable train tracks""; ""Chapter 7. Fold lines""; ""7.1. Examples of fold paths""; ""7.2. Characterizing fold lines""; ""7.3. Direct limits of fold rays""
""7.4. Legal laminations of split rays""""7.5. Weak train tracks on fold lines""; ""Bibliography""
Record Nr. UNINA-9910788867203321
Handel Michael <1949->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Axes in outer space / / Michael Handel, Lee Mosher
Axes in outer space / / Michael Handel, Lee Mosher
Autore Handel Michael <1949->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (104 p.)
Disciplina 514.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometric group theory
Low-dimensional topology
ISBN 1-4704-0621-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Characterizations of the axis bundle""; ""1.2. The main theorems""; ""1.3. A question of Vogtmann""; ""1.4. Contents and proofs""; ""1.5. Problems and questions""; ""Chapter 2. Preliminaries""; ""2.1. Outer space and outer automorphisms""; ""2.2. Paths, circuits and edge paths""; ""2.3. Folds""; ""2.4. Train track maps""; ""2.5. The attracting tree T+""; ""2.6. Geodesic laminations in trees and marked graphs""; ""2.7. The expanding lamination -""; ""2.8. Relating - to T- and to T+""; ""Chapter 3. The ideal Whitehead graph""
""3.1. Definition and structure of the ideal Whitehead graph""""3.2. Asymptotic leaves and the ideal Whitehead graph""; ""3.3. T+ and the ideal Whitehead graph""; ""3.4. An example of an ideal Whitehead graph""; ""Chapter 4. Cutting and pasting local stable Whitehead graphs""; ""4.1. Pasting local stable Whitehead graphs""; ""4.2. Cutting local stable Whitehead graphs""; ""4.3. The finest local decomposition""; ""Chapter 5. Weak train tracks""; ""5.1. Local decomposition of the ideal Whitehead graph""; ""5.2. Folding up to a weak train track""
""5.3. Comparing train tracks to weak train tracks""""5.4. Rigidity and irrigidity of - isometries""; ""5.5. Examples of exceptional weak train tracks""; ""Chapter 6. Topology of the axis bundle""; ""6.1. Continuity properties of the normalized axis bundle""; ""6.2. The Gromov topology on weak train tracks""; ""6.3. Properness of the length map""; ""6.4. Applying Skora's method to the Properness Theorem 6.1""; ""6.5. Remarks on stable train tracks""; ""Chapter 7. Fold lines""; ""7.1. Examples of fold paths""; ""7.2. Characterizing fold lines""; ""7.3. Direct limits of fold rays""
""7.4. Legal laminations of split rays""""7.5. Weak train tracks on fold lines""; ""Bibliography""
Record Nr. UNINA-9910828112203321
Handel Michael <1949->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (290 p.)
Disciplina 512/.2
Collana Contemporary mathematics
Soggetto topico Combinatorial group theory
Geometric group theory
Soggetto genere / forma Electronic books.
ISBN 0-8218-7886-7
0-8218-5632-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Open problems in combinatorial group theory. Second edition""; ""1. Outstanding Problems""; ""2. Free Groups""; ""3. One-relator Groups""; ""4. Finitely Presented Groups""; ""5. Hyperbolic and Automatic Groups""; ""6. Braid Groups""; ""7. Nilpotent Groups""; ""8. Metabelian Groups""; ""9. Solvable Groups""; ""10. Groups of Matrices""; ""11. Growth""; ""Boundaries of hyperbolic groups""; ""Thin groups of fractions""; ""Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group""
""Weakly finitely presented infinite periodic groups""""Positively generated subgroups of free groups and the Hanna Neumann conjecture""; ""On the proalgebraic completion of a finitely generated group""; ""On the Andrews-Curtis equivalence""; ""Test ranks of finitely generated abelian groups""; ""Classification of the finite generalized tetrahedron groups""; ""Fixed subgroups in free groups: A survey""; ""Automorphisms of surfaces""
Record Nr. UNINA-9910480941003321
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (290 p.)
Disciplina 512/.2
Collana Contemporary mathematics
Soggetto topico Combinatorial group theory
Geometric group theory
ISBN 0-8218-7886-7
0-8218-5632-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Open problems in combinatorial group theory. Second edition""; ""1. Outstanding Problems""; ""2. Free Groups""; ""3. One-relator Groups""; ""4. Finitely Presented Groups""; ""5. Hyperbolic and Automatic Groups""; ""6. Braid Groups""; ""7. Nilpotent Groups""; ""8. Metabelian Groups""; ""9. Solvable Groups""; ""10. Groups of Matrices""; ""11. Growth""; ""Boundaries of hyperbolic groups""; ""Thin groups of fractions""; ""Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group""
""Weakly finitely presented infinite periodic groups""""Positively generated subgroups of free groups and the Hanna Neumann conjecture""; ""On the proalgebraic completion of a finitely generated group""; ""On the Andrews-Curtis equivalence""; ""Test ranks of finitely generated abelian groups""; ""Classification of the finite generalized tetrahedron groups""; ""Fixed subgroups in free groups: A survey""; ""Automorphisms of surfaces""
Record Nr. UNINA-9910788657203321
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Combinatorial and geometric group theory : AMS special session, combinatorial group theory, November 4-5, 2000, New York, New York : AMS special session, computational group theory, April 28-29, 2001, Hoboken, New Jersey / / Sean Cleary [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica 1 online resource (290 p.)
Disciplina 512/.2
Collana Contemporary mathematics
Soggetto topico Combinatorial group theory
Geometric group theory
ISBN 0-8218-7886-7
0-8218-5632-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Open problems in combinatorial group theory. Second edition""; ""1. Outstanding Problems""; ""2. Free Groups""; ""3. One-relator Groups""; ""4. Finitely Presented Groups""; ""5. Hyperbolic and Automatic Groups""; ""6. Braid Groups""; ""7. Nilpotent Groups""; ""8. Metabelian Groups""; ""9. Solvable Groups""; ""10. Groups of Matrices""; ""11. Growth""; ""Boundaries of hyperbolic groups""; ""Thin groups of fractions""; ""Every abelian group universally equivalent to a discriminating group is elementarily equivalent to a discriminating group""
""Weakly finitely presented infinite periodic groups""""Positively generated subgroups of free groups and the Hanna Neumann conjecture""; ""On the proalgebraic completion of a finitely generated group""; ""On the Andrews-Curtis equivalence""; ""Test ranks of finitely generated abelian groups""; ""Classification of the finite generalized tetrahedron groups""; ""Fixed subgroups in free groups: A survey""; ""Automorphisms of surfaces""
Record Nr. UNINA-9910817174503321
Providence, Rhode Island : , : American Mathematical Society, , [2002]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui