Relational Topology

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    Relational Topology
    By: Gunther Schmidt; Michael Winter
    Publisher:
    Springer
    Print ISBN: 9783319744506, 331974450X
    eText ISBN: 9783319744513, 3319744518
    Copyright year: 2018
    Format: EPUB
    Available from $ 54.99 USD
    SKU 9783319744513
    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.
     

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