Almost 1-1 extensions, equicontinuous systems and residually finite groups

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dc.catalogadorpva
dc.contributor.advisorCortéz, María Isabel
dc.contributor.authorGómez Ortiz, Jaime Andrés
dc.contributor.otherPontificia Universidad Católica de Chile. Facultad de Matemáticas
dc.date.accessioned2024-09-04T20:36:49Z
dc.date.available2024-09-04T20:36:49Z
dc.date.issued2024
dc.date.updated2024-09-04T16:12:24Z
dc.descriptionTesis (Doctor en Matemáticas)--Pontificia Universidad Católica de Chile, 2024
dc.description.abstractThe purpose of this document is to present our study on the various properties of almost 1-1 extensions of G-odometers with regards to the realization of Choquet simplices, mean-equicontinuity, and the construction of specific almost 1-1 exten- sions of equicontinuous systems. These systems can be viewed as a topological generalization of equicontinuous systems with diverse behavior on some aspects as entropy, the set of probability invariant measures, and more. Each problem is addressed within a general framework without assuming any amenable property on the acting group, except for the last problem where amenability was essential for constructing a specific type of almost 1-1 extensions. This thesis is divided into three parts, with the first two chapters presenting the results of two different manuscripts that are published and submitted, respectively.
dc.fechaingreso.objetodigital2024-09-04
dc.format.extentvi, 104 páginas
dc.fuente.origenAutoarchivo
dc.identifier.doi10.7764/tesisUCMAT/87793
dc.identifier.urihttps://doi.org/10.7764/tesisUCMAT/87793
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/87793
dc.information.autorucFacultad de Matemáticas; Cortéz, María Isabel; 0000-0002-1819-032X; 1159672
dc.information.autorucFacultad de Matemáticas; Gómez Ortiz, Jaime Andrés; S/I; 1139864
dc.language.isoen
dc.nota.accesocontenido completo
dc.rightsacceso abierto
dc.rights.licenseAtribución 4.0 Internacional (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.es
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleAlmost 1-1 extensions, equicontinuous systems and residually finite groups
dc.typetesis doctoral
sipa.codpersvinculados1159672
sipa.codpersvinculados1139864
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