Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk
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| Autore: |
Forrest Alan <1964->
|
| Titolo: |
Topological invariants for projection method patterns / / Alan Forrest, John Hutton, Johannes Kellendonk
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| ©2002 | |
| Descrizione fisica: | 1 online resource (137 p.) |
| Disciplina: | 510 s |
| 516 | |
| Soggetto topico: | Aperiodic tilings |
| Invariants | |
| K-theory | |
| Topological dynamics | |
| Persona (resp. second.): | HuttonJohn <1964-> |
| KellendonkJohannes <1961-> | |
| Note generali: | "Volume 159, number 758 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references (pages 116-120). |
| 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"" | |
| Titolo autorizzato: | Topological invariants for projection method patterns |
| ISBN: | 1-4704-0351-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910807037303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 758.