Eventual factor maps and compositions of closing maps

DOI10.1017/S0143385700006039zbMath0703.54023OpenAlexW2125826617MaRDI QIDQ3482541

Brian Marcus, Bruce P. Kitchens, Paul B. Trow

Publication date: 1991

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006039

zbMATH Keywords

shift equivalencesimple spectrumshifts of finite typeexistence of factor maps and eventual factor mapsfinite-to-one eventual factor maps

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items

The multiplicative inequality for class degrees via relative transition classes, Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type, Decompositions of finite-to-one factor maps, Decompositions of factor maps involving bi-closing maps, Lifting covers of sofic shifts, Degrees of finite-to-one factor maps, Divisibility Constraints on Degrees of Factor Maps, Decompositions of factor codes and embeddings between shift spaces with unequal entropies, Structure of transition classes for factor codes on shifts of finite type, Determining presentations of sofic shifts, Lifting factor maps to resolving maps, Algebraic Shift Equivalence and Primitive Matrices, Factor theorems for locally compact Markov shifts II, Unnamed Item

Cites Work

• Unnamed Item
• On dimension functions and topological Markov chains
• Factors and extensions of full shifts
• Uniformly finite-to-one and onto extensions of homomorphisms between strongly connected graphs
• Sofic systems
• Finite procedures for sofic systems
• Homology for zero-dimensional nonwandering sets
• Classification of subshifts of finite type
• An Invariant for Continuous Factors of Markov Shifts
• Endomorphisms of irreducible subshifts of finite type
• Intrinsic Markov Chains