Relational topology / Gunther Schmidt, Michael Winter.
Schmidt, Gunther, 1939-; Winter, Michael (Professor)
2018
QA611
Available Online

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Title Relational topology / Gunther Schmidt, Michael Winter.
Author Schmidt, Gunther, 1939-
ISBN 9783319744513 (electronic book)
3319744518 (electronic book)
9783319744506
331974450X
DOI https://doi.org/10.1007/978-3-319-74451-3
Publication Details Cham : Springer, 2018.
Language English
Description 1 online resource.
Item Number 10.1007/978-3-319-74451-3 doi
Call Number QA611
Dewey Decimal Classification 514
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Description based on print version record.
Added Author Winter, Michael (Professor)
Series Lecture notes in mathematics (Springer-Verlag) ; 2208.
Available in Other Form Print version: 9783319744506
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1.Introduction
2. Prerequisites
3. Products of Relations
4. Meet and Join as Relations
5. Applying Relations in Topology
6. Construction of Topologies
7. Closures and their Aumann Contacts
8. Proximity and Nearness
9. Frames
10. Simplicial Complexes.

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