Erschienen: 21.12.2017 Abbildung von Schmidt / Winter | Relational Topology | 2018 | 2018

Schmidt / Winter

Relational Topology

2018 2018. Buch. Book. Softcover

Springer-Verlag GmbH. ISBN 978-3-319-74450-6

Format (B x L): 15.8 x 23.6 cm

Gewicht: 344 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics

Produktbeschreibung

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.

Autoren

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