Relational topology / Gunther Schmidt, Michael Winter.

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Relational topology / Gunther Schmidt, Michael Winter.

9783319744513 (electronic book)
3319744518 (electronic book)
9783319744506
331974450X

Cham : Springer, 2018.

English

1 online resource.

10.1007/978-3-319-74451-3 doi

QA611

514

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.

Includes bibliographical references and index.

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Description based on print version record.

Lecture notes in mathematics (Springer-Verlag) ; 2208.

Print version: 9783319744506

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