Relational Topology - pr_32544

Relational Topology

By Gunther Schmidt, Michael Winter

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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.

Product code: 9783319744506

ISBN 9783319744506
Dimensions H235xW155
Series Lecture Notes in Mathematics
Edition 1st ed. 2018
No. of pages 194
Publisher Springer International Publishing AG
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology.