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Dynamical correspondences for Smale spaces Public Deposited
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https://scholar.colorado.edu/concern/articles/8c97kq91n
- Abstract
- We initiate the study of correspondences for Smale spaces. Correspondences are shown to provide a notion of a generalized morphism between Smale spaces and are a special case of finite equivalences. Furthermore, for shifts of finite type, a correspondence is related to a matrix which intertwines the adjacency matrices of the shifts. This observation allows us to define an equivalence relation on all Smale spaces which reduces to shift equivalence for shifts of finite type. Several other notions of equivalence are introduced on both correspondences and Smale spaces; a hierarchy between these equivalences is established. Finally, we provide several methods for constructing correspondences and provide specific examples.
- Creator
- Date Issued
- 2016-01-01
- Academic Affiliation
- Journal Title
- Journal Volume
- 22
- File Extent
- 943-988
- Subject
- Dernière modification
- 2019-12-05
- Resource Type
- Déclaration de droits
- ISSN
- 1076-9803
- Language
Des relations
Articles
La vignette | Titre | Date de téléchargement | Visibilité | actes |
---|---|---|---|---|
dynamicalCorrespondencesForSmaleSpaces.pdf | 2019-12-05 | Public | Télécharger | |
dynamicalCorrespondencesForSmaleSpaces.pdf | 2019-12-05 | Public | Télécharger |