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Lecture Notes in Mathematics

Relational Topology

Authors: Schmidt, Gunther, Winter, Michael

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  • 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
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-74451-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-319-74450-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-319-74451-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-319-74450-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Relational Topology
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2208
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
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
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 194
Number of Illustrations
36 b/w illustrations, 68 illustrations in colour
Topics