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Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk
| Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk |
| Autore | Forrest Alan <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Aperiodic tilings
Invariants K-theory Topological dynamics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0351-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""General Introduction""; ""I: Topological Spaces and Dynamical Systems""; ""1 Introduction""; ""2 The projection method and associated geometric constructions""; ""3 Topological spaces for point patterns""; ""4 Tilings and point patterns""; ""5 Comparing II[sub(u)] and II[sub(u)]""; ""6 Calculating M P[sub(u)] and M P[sup(u)]""; ""7 Comparing M P[sup(u)] with M P[sup(u)]""; ""8 Examples and counter-examples""; ""9 The topology of the continuous hull""; ""10 A Cantor Z[sup(d)] dynamical system""; ""II: Groupoids, C*-algebras, and their Invariants""; ""1 Introduction""
""2 Equivalence of projection method pattern groupoids""""3 Continuous similarity of projection method pattern groupoids""; ""4 Pattern cohomology and K-theory""; ""5 Homological conditions for self similarity""; ""III: Approaches to Calculation I: Cohomology for Codimension One""; ""1 Introduction""; ""2 Inverse limit acceptance domains""; ""3 Cohomology in the case d = N � 1""; ""IV: Approaches to Calculation II: Infinitely Generated Cohomology""; ""1 Introduction""; ""2 The canonical projection tiling""; ""3 Constructing C-topes""; ""4 The indecomposable case"" ""5 The decomposable case""""6 Conditions for infinitely generated cohomology""; ""V: Approaches to Calculation III: Cohomology for Small Codimension""; ""1 Introduction""; ""2 Set up and statement of the results""; ""3 Complexes defined by the singular spaces""; ""4 Group homology""; ""5 The spectral sequences""; ""6 Example: Ammann-Kramer tilings""; ""Bibliography"" |
| Record Nr. | UNINA-9910478883503321 |
Forrest Alan <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk
| Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk |
| Autore | Forrest Alan <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Aperiodic tilings
Invariants K-theory Topological dynamics |
| ISBN | 1-4704-0351-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""General Introduction""; ""I: Topological Spaces and Dynamical Systems""; ""1 Introduction""; ""2 The projection method and associated geometric constructions""; ""3 Topological spaces for point patterns""; ""4 Tilings and point patterns""; ""5 Comparing II[sub(u)] and II[sub(u)]""; ""6 Calculating M P[sub(u)] and M P[sup(u)]""; ""7 Comparing M P[sup(u)] with M P[sup(u)]""; ""8 Examples and counter-examples""; ""9 The topology of the continuous hull""; ""10 A Cantor Z[sup(d)] dynamical system""; ""II: Groupoids, C*-algebras, and their Invariants""; ""1 Introduction""
""2 Equivalence of projection method pattern groupoids""""3 Continuous similarity of projection method pattern groupoids""; ""4 Pattern cohomology and K-theory""; ""5 Homological conditions for self similarity""; ""III: Approaches to Calculation I: Cohomology for Codimension One""; ""1 Introduction""; ""2 Inverse limit acceptance domains""; ""3 Cohomology in the case d = N � 1""; ""IV: Approaches to Calculation II: Infinitely Generated Cohomology""; ""1 Introduction""; ""2 The canonical projection tiling""; ""3 Constructing C-topes""; ""4 The indecomposable case"" ""5 The decomposable case""""6 Conditions for infinitely generated cohomology""; ""V: Approaches to Calculation III: Cohomology for Small Codimension""; ""1 Introduction""; ""2 Set up and statement of the results""; ""3 Complexes defined by the singular spaces""; ""4 Group homology""; ""5 The spectral sequences""; ""6 Example: Ammann-Kramer tilings""; ""Bibliography"" |
| Record Nr. | UNINA-9910788847303321 |
|
Forrest Alan <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk
| Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk |
| Autore | Forrest Alan <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
516 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Aperiodic tilings
Invariants K-theory Topological dynamics |
| ISBN | 1-4704-0351-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""General Introduction""; ""I: Topological Spaces and Dynamical Systems""; ""1 Introduction""; ""2 The projection method and associated geometric constructions""; ""3 Topological spaces for point patterns""; ""4 Tilings and point patterns""; ""5 Comparing II[sub(u)] and II[sub(u)]""; ""6 Calculating M P[sub(u)] and M P[sup(u)]""; ""7 Comparing M P[sup(u)] with M P[sup(u)]""; ""8 Examples and counter-examples""; ""9 The topology of the continuous hull""; ""10 A Cantor Z[sup(d)] dynamical system""; ""II: Groupoids, C*-algebras, and their Invariants""; ""1 Introduction""
""2 Equivalence of projection method pattern groupoids""""3 Continuous similarity of projection method pattern groupoids""; ""4 Pattern cohomology and K-theory""; ""5 Homological conditions for self similarity""; ""III: Approaches to Calculation I: Cohomology for Codimension One""; ""1 Introduction""; ""2 Inverse limit acceptance domains""; ""3 Cohomology in the case d = N � 1""; ""IV: Approaches to Calculation II: Infinitely Generated Cohomology""; ""1 Introduction""; ""2 The canonical projection tiling""; ""3 Constructing C-topes""; ""4 The indecomposable case"" ""5 The decomposable case""""6 Conditions for infinitely generated cohomology""; ""V: Approaches to Calculation III: Cohomology for Small Codimension""; ""1 Introduction""; ""2 Set up and statement of the results""; ""3 Complexes defined by the singular spaces""; ""4 Group homology""; ""5 The spectral sequences""; ""6 Example: Ammann-Kramer tilings""; ""Bibliography"" |
| Record Nr. | UNINA-9910807037303321 |
|
Forrest Alan <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||