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dc.creatorBarria Comicheo, Angel Daniel
dc.date.accessioned2019-06-04T16:21:41Z
dc.date.available2019-06-04T16:21:41Z
dc.date.issued2018es_CL
dc.identifier.urihttp://hdl.handle.net/10533/235818
dc.description.abstractThis article summarizes the main properties of ultrametric spaces, valued fields, ordered fields and fields with valuations of higher rank, highlighting their similarities and differences. The most used non-Archimedean valued fields are reviewed, like a completion in the case of the p-adic numbers fields and the Levi-Civita fields, or like an algebraic closure as is sometimes the case of the Puiseux series fields. Also, a study of spherically complete valued fields is presented and their characterization as maximally complete fields is given where the Hahn fields and the Mal’cev-Neumann fields (their p-adic analogues) play an important role as “spherical completions”. Finally several of the metric, topological, algebraic and order properties of the most used non-Archimedean valued fields are collected in a catalog where we can appreciate the analogy between fields that have the same characteristic as their residue class fields and fields that do not satisfy this property.es_CL
dc.relationinstname: Conicyt
dc.relationreponame: Repositorio Digital RI2.0
dc.relation.urihttp://dx.doi.org/10.1090/conm/704/14158es_CL
dc.rightsinfo:eu-repo/semantics/openAccesses_CL
dc.rightsCC0 1.0 Universal*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.titleSummary on non-Archimedean valued fieldses_CL
dc.typeArticulo
dc.identifier.folio72130551es_CL
dc.relation.projectidinfo:eu-repo/grantAgreement//72130551es_CL
dc.relation.setinfo:eu-repo/semantics/dataset/hdl.handle.net/10533/93477
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.title.journalContemporary Mathematics-American Mathematical Society (PRINT)es_CL
dc.type.driverinfo:eu-repo/semantics/article
dc.type.openaireinfo:eu-repo/semantics/publishedVersion


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