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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 | ||
| ||
Topology of singular fibers of differentiable maps / Osamu Saeki
| Topology of singular fibers of differentiable maps / Osamu Saeki |
| Autore | Saeki, Osamu |
| Pubbl/distr/stampa | Berlin : Springer, c2004 |
| Descrizione fisica | x, 145 p. : ill. ; 24 cm |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1854 |
| Soggetto topico |
Topological dynamics
Differentiable mappings Mappings (Mathematics) |
| ISBN | 3540230211 |
| Classificazione |
AMS 57R45
LC QA614.58.S24 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000624469707536 |
|
Saeki, Osamu
|
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| Berlin : Springer, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari
| The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari |
| Autore | Natiello M. A (Mario A.) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514 |
| Altri autori (Persone) | SolariH. G (Hernán G.) |
| Soggetto topico |
Topological dynamics
Dimension theory (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-12123-1
9786611121235 981-277-148-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A crisis in the experimental method archetype -- 2. Orbit organization in R2 x S1 -- 3. Braids as indicators of Phase-space dynamics -- Braids and the Poincar�e section -- 5. Reconstruction of Phase-space dynamics: basic course -- Reconstruction of Phase-space dynamics: advanced course -- 7. The user's chapter -- 8. After thoughts. |
| Record Nr. | UNINA-9910450665703321 |
|
Natiello M. A (Mario A.)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari
| The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari |
| Autore | Natiello M. A (Mario A.) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514 |
| Altri autori (Persone) | SolariH. G (Hernán G.) |
| Soggetto topico |
Topological dynamics
Dimension theory (Topology) |
| ISBN |
1-281-12123-1
9786611121235 981-277-148-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A crisis in the experimental method archetype -- 2. Orbit organization in R2 x S1 -- 3. Braids as indicators of Phase-space dynamics -- Braids and the Poincar�e section -- 5. Reconstruction of Phase-space dynamics: basic course -- Reconstruction of Phase-space dynamics: advanced course -- 7. The user's chapter -- 8. After thoughts. |
| Record Nr. | UNINA-9910784041803321 |
|
Natiello M. A (Mario A.)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari
| The user's approach to topological methods in 3d dynamical systems [[electronic resource] /] / Mario A. Natiello, Hernán G. Solari |
| Autore | Natiello M. A (Mario A.) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (142 p.) |
| Disciplina | 514 |
| Altri autori (Persone) | SolariH. G (Hernán G.) |
| Soggetto topico |
Topological dynamics
Dimension theory (Topology) |
| ISBN |
1-281-12123-1
9786611121235 981-277-148-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A crisis in the experimental method archetype -- 2. Orbit organization in R2 x S1 -- 3. Braids as indicators of Phase-space dynamics -- Braids and the Poincar�e section -- 5. Reconstruction of Phase-space dynamics: basic course -- Reconstruction of Phase-space dynamics: advanced course -- 7. The user's chapter -- 8. After thoughts. |
| Record Nr. | UNINA-9910809411503321 |
|
Natiello M. A (Mario A.)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
