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Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina
| Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina |
| Autore | Bestvina Mladen <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Manifolds (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0800-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""DEFINITIONS AND NOTATION""; ""1. PARTITIONS""; ""1.1. Partitions on Compact PL-Manifolds (With Boundary)""; ""1.2. The Standard Construction of the Universal k-Dimensional Menger Space Î?[sup(k)] and Î?[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of Î?[sup(k)]""; ""2. BASIC MOVES""; ""2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps""; ""2.2. The Isotopy Move and Verification of Axiom 1""; ""2.3. Absorbing Maps and Basic Properties of Î?[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps""
""2.5. Connecting Intersections""""2.6. Correct Ordering""; ""2.7. Increasing the Connectivity of Partition Elements""; ""2.8 Some Easy Consequences""; ""3. THE Z-SET UNKNOTTING THEOREM""; ""3.1. The Z-set Unknotting Theorem""; ""3.2. Homogeneity of Î?[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The Ï?-Z-set Shrinking Theorem""; ""4.3. The Main Shrinking Theorem""; ""5. THE CHARACTERIZATION THEOREM""; ""5.1. The Resolution Theorem""; ""5.2. The Characterization Theorem""; ""6. NONCOMPACT MENGER MANIFOLDS""; ""APPENDIX"" ""LIST OF REFERENCES"" |
| Record Nr. | UNINA-9910480676103321 |
Bestvina Mladen <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina
| Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina |
| Autore | Bestvina Mladen <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Manifolds (Mathematics) |
| ISBN | 1-4704-0800-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""DEFINITIONS AND NOTATION""; ""1. PARTITIONS""; ""1.1. Partitions on Compact PL-Manifolds (With Boundary)""; ""1.2. The Standard Construction of the Universal k-Dimensional Menger Space Î?[sup(k)] and Î?[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of Î?[sup(k)]""; ""2. BASIC MOVES""; ""2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps""; ""2.2. The Isotopy Move and Verification of Axiom 1""; ""2.3. Absorbing Maps and Basic Properties of Î?[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps""
""2.5. Connecting Intersections""""2.6. Correct Ordering""; ""2.7. Increasing the Connectivity of Partition Elements""; ""2.8 Some Easy Consequences""; ""3. THE Z-SET UNKNOTTING THEOREM""; ""3.1. The Z-set Unknotting Theorem""; ""3.2. Homogeneity of Î?[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The Ï?-Z-set Shrinking Theorem""; ""4.3. The Main Shrinking Theorem""; ""5. THE CHARACTERIZATION THEOREM""; ""5.1. The Resolution Theorem""; ""5.2. The Characterization Theorem""; ""6. NONCOMPACT MENGER MANIFOLDS""; ""APPENDIX"" ""LIST OF REFERENCES"" |
| Record Nr. | UNINA-9910788885403321 |
|
Bestvina Mladen <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina
| Characterizing k-dimensional universal Menger compacta / / Mladen Bestvina |
| Autore | Bestvina Mladen <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1988 |
| Descrizione fisica | 1 online resource (121 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Metric spaces
Manifolds (Mathematics) |
| ISBN | 1-4704-0800-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""DEFINITIONS AND NOTATION""; ""1. PARTITIONS""; ""1.1. Partitions on Compact PL-Manifolds (With Boundary)""; ""1.2. The Standard Construction of the Universal k-Dimensional Menger Space Î?[sup(k)] and Î?[sup(k)]-Manifolds""; ""1.3. A Combinatorial Characterization of Î?[sup(k)]""; ""2. BASIC MOVES""; ""2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps""; ""2.2. The Isotopy Move and Verification of Axiom 1""; ""2.3. Absorbing Maps and Basic Properties of Î?[sup(k)]-Manifolds""; ""2.4. Building Partitions and Associated Maps""
""2.5. Connecting Intersections""""2.6. Correct Ordering""; ""2.7. Increasing the Connectivity of Partition Elements""; ""2.8 Some Easy Consequences""; ""3. THE Z-SET UNKNOTTING THEOREM""; ""3.1. The Z-set Unknotting Theorem""; ""3.2. Homogeneity of Î?[sup(k)]""; ""4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS""; ""4.1. The Z-set Shrinking Theorem""; ""4.2. The Ï?-Z-set Shrinking Theorem""; ""4.3. The Main Shrinking Theorem""; ""5. THE CHARACTERIZATION THEOREM""; ""5.1. The Resolution Theorem""; ""5.2. The Characterization Theorem""; ""6. NONCOMPACT MENGER MANIFOLDS""; ""APPENDIX"" ""LIST OF REFERENCES"" |
| Record Nr. | UNINA-9910828912603321 |
|
Bestvina Mladen <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||