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Relational Topology paperback english - 16 Jul 2018

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PublisherSpringer International Publishing AG
ISBN 139783319744506
Book DescriptionThis 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.
LanguageEnglish
AuthorGunther Schmidt, Michael Winter
Publication Date16 Jul 2018
Number of Pages194

Relational Topology paperback english - 16 Jul 2018

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