Lecture Notes in Mathematics

Relational Topology

Autoren: Schmidt, Gunther, Winter, Michael

Vorschau
  • Introduces and develops an algebraic treatment of Boolean matrices
  • Applies the methods to give an algebraic treatment of point set topology
  • Offers a framework for handling topological problems using theorem provers
  • Includes nearly 100 diagrams of relations presented as matrices
Weitere Vorteile

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  • ISBN 978-3-319-74451-3
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Über dieses Buch

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.

Inhaltsverzeichnis (10 Kapitel)

Inhaltsverzeichnis (10 Kapitel)

Dieses Buch kaufen

eBook 37,44 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-74451-3
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 48,14 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Relational Topology
Autoren
Titel der Buchreihe
Lecture Notes in Mathematics
Buchreihen Band
2208
Copyright
2018
Verlag
Springer International Publishing
Copyright Inhaber
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-74451-3
DOI
10.1007/978-3-319-74451-3
Softcover ISBN
978-3-319-74450-6
Buchreihen ISSN
0075-8434
Auflage
1
Seitenzahl
XIV, 194
Anzahl der Bilder
36 schwarz-weiß Abbildungen, 68 Abbildungen in Farbe
Themen