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Relational Topology 2018 Edition at Meripustak

Relational Topology 2018 Edition

Books from same Author: Gunther Schmidt Michael Winter

Books from same Publisher: Springer

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    • General Information  
    Author(s)Gunther Schmidt Michael Winter
    PublisherSpringer
    ISBN9783319744506
    Pages194
    BindingPaperback
    LanguageEnglish
    Publish YearJuly 2018

    Description

    Springer Relational Topology 2018 Edition by Gunther Schmidt Michael Winter

    This book introduces and develops new algebraic methods to work with relations often conceived as Boolean matrices and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics numerics statistics engineering and elsewhere the methods used to work with them are much less well known. In addition to their purely topological applications the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science.Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants. Table of contents : 1.Introduction.- 2. Prerequisites.- 3. Products of Relations.- 4. Meet and Join as Relations.- 5. Applying Relations in Topology.- 6. Construction of Topologies.- 7. Closures and their Aumann Contacts.- 8. Proximity and Nearness.- 9. Frames.- 10. Simplicial Complexes.