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[null,"1.","Record Nr.",null,"UNINA9910788591503321"]
[null,null,"Autore",null,"Naimpally Somashekhar"]
[null,null,"Titolo",null,"Proximity approach to problems in topology and analysis / / von Somashekhar Naimpally"]
[null,null,"Pubbl/distr/stampa",null,"München : , : Oldenbourg Verlag München, , [2009]"]
[{"$nulls":4},"©2009"]
[null,null,"ISBN",null,"3-486-59860-0"]
[null,null,"Descrizione fisica",null,"1 online resource (220 p.)"]
[null,null,"Classificazione",null,"SK 280"]
[null,null,"Disciplina",null,"514.32"]
[null,null,"Soggetti",null,"Topology"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Front Matter -- 1 The Lodato Proximity -- 2 The Efremoviê Proximity -- 3 Extensions of Continuous Functions from Dense Subspaces -- 4 Nearness and Contiguity. Extension Theorems -- 5 Hyperspace Topologies -- 6 Hit-And-Far-Miss Topology: A Generalization of the Wijsman Topology -- 7 Infimum and Supremum of Hypertopologies -- 8 Hyper-Continuous Convergence in Function Spaces -- 9 Proximal Set-Open Topology -- 10 A Unified Approach to Metrisation Problems -- 11 Semi-Metric and Developable Spaces -- 12 Open and Uniformly Open Relations -- 13 Duality in Function Spaces -- 14 Proximal and Other Characterizations of Uniform Invariants -- Back Matter"]
[null,null,null,"Sommario/riassunto","Dank sich zahlreich ergebender Anwendungsmöglichkeiten gewinnt das Proximity-Konzept zunehmend an Stellenwert in der Topologie und findet insbesondere auch in der theoretischen Physik Beachtung. Dieses Buch geht auf alle wesentlichen Aspekte des Proximity-Konzepts ein. Es enthält sämtliche wichtigen Forschungsergebnisse, konzentriert das aktuelle Gesamtwissen zur Thematik und stellt es dem Leser in strukturierter Form dar. Der Hauptaugenmerk liegt auf den vielfältigen Möglichkeiten, die sich aus dem Proximity-Konzept der räumlichen Nähe und seiner Verallgemeinerung im Nearness-Konzept ergeben. Alle relevanten Definitionen und Gleichungen werden wiederholt bzw. hergeleitet, so dass das Buch auch für Einsteiger in das Thema gut verständlich ist."]