id,collection,dc.contributor.author,dc.date.accessioned,dc.date.available,dc.date.issued,dc.description.abstract[de],dc.format.extent,dc.identifier.uri,dc.language,dc.relation.ispartofseries,dc.rights.uri,dc.subject,dc.subject.ddc,dc.title,dc.type,dcterms.accessRights.openaire,refubium.affiliation.other,refubium.affiliation[de],refubium.mycore.derivateId,refubium.mycore.fudocsId,refubium.mycore.reportnumber,refubium.series.issueNumber,refubium.series.name,refubium.series.reportNumber "1f5279ab-648a-4af4-a844-2ebf06b92720","fub188/17741","Preuß, Gerhard","2018-06-08T07:28:02Z","2014-07-16T08:23:56.046Z","2010","In Analysis two modes of non-topological convergence are interesting: order convergence and convergence almost everywhere. It is proved here that oder convergence of sequences can be induced by a limit structure, even a finest one, whenever it is considered in sigma-distributive lattices. Since convergence almost everywhere can be regarded as order convergence in a certain sigma-distributive lattice, this result can be applied to convergence of sequences almost everywhere and thus generalizing a former result of U. Höhle obtained in a more indirect way by using fuzzy topologies.","16 S.","https://refubium.fu-berlin.de/handle/fub188/18018||http://dx.doi.org/10.17169/refubium-21732","eng","urn:nbn:de:kobv:188-fudocsseries000000000226-9","http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen","Complete lattices||sigma-distributive lattices||convergence almost everywhere||order convergence||limit spaces (=convergence spaces) and generalizations","500 Naturwissenschaften und Mathematik::510 Mathematik","Order convergence and convergence almost everywhere revisited","Preprint","open access","Institut für Mathematik:::bbcc0fd4-8a69-48ba-bf5a-6eae54fc4a88:::600","Mathematik und Informatik","FUDOCS_derivate_000000003707","FUDOCS_document_000000020599","A /09/2010","Preprints, Serie A: Mathematik","Freie Universität Berlin, Fachbereich Mathematik und Informatik","A /09/2010"