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portada Relational Topology (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
194
Format
Paperback
ISBN13
9783319744506
Categories

Relational Topology (Lecture Notes in Mathematics)

Gunther Schmidt; Michael Winter (Author) · Springer · Paperback

Relational Topology (Lecture Notes in Mathematics) - Gunther Schmidt; Michael Winter

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Synopsis "Relational Topology (Lecture Notes in Mathematics) "

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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