Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Resolving maps and the dimension group for shifts of finite type

About this Title

Mike Boyle, Brian Marcus and Paul Trow

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 70, Number 377
ISBNs: 978-0-8218-2440-5 (print); 978-1-4704-0797-1 (online)
DOI: https://doi.org/10.1090/memo/0377
MathSciNet review: 912638
MSC: Primary 28D05; Secondary 28D20, 54H20, 58F11

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 1. Introduction
  • 2. Shifts of finite type, factor maps and the dimension group
  • 3. Eventual factors theorem
  • 4. Eventual factors for sofic systems
  • 5. Linear maps, ideal classes, and realization
  • 6. Common factors
  • 7. Common extensions
  • 8. Regular isomorphism
  • 9. Duality
  • 10. Compositions of closing maps
  • 11. Topological construction of dimension groups
  • 12. Stable factor maps