Abstract
We give a complete invariant for shift equivalence for Boolean matrices (equivalently finite relations), in terms of the period, the induced partial order on recurrent components, and the cohomology class of the relation on those components.
Recommended Citation
E. Akin et al., "A Complete Invariant for Shift Equivalence for Boolean Matrices and Finite Relations," Topology and Its Applications, vol. 357, article no. 109075, Elsevier, Nov 2024.
The definitive version is available at https://doi.org/10.1016/j.topol.2024.109075
Department(s)
Mathematics and Statistics
Publication Status
Full Text Access
Keywords and Phrases
Boolean matrices; Complete invariant; Finite relations; Shift equivalence; Szymczak functor
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Elsevier, All rights reserved.
Publication Date
01 Nov 2024

Comments
Uniwersytet Jagielloński w Krakowie, Grant 2019/35/B/ST1/00874