A constructive approach to Markov compacta
Volume 257 / 2022
Fundamenta Mathematicae 257 (2022), 265-287
MSC: Primary 20F67.
DOI: 10.4064/fm73-10-2021
Published online: 7 February 2022
Abstract
We give a detailed description of an algorithmic procedure of creating certain inverse systems of finite simplicial complexes, limits of which we call ‘constructive Markov compacta’. We further compare this description with definitions given earlier in the literature and, as a result, deduce that the Gromov boundary of any hyperbolic group is homeomorphic to some constructive Markov compactum.
