Relational Topology
Produktnummer:
18f58c8b9d95634ab2b4d53a208df6b718
| Autor: | Schmidt, Gunther Winter, Michael |
|---|---|
| Themengebiete: | Algebraic Topology Aumann Contacts Frames in Theoretical Computer Science as Topologies Kronecker Product of Relations Nearness Proximity Quantifier-free logic Relational Mathematics Simplicial Complexes Spatial Reasoning |
| Veröffentlichungsdatum: | 02.06.2018 |
| EAN: | 9783319744506 |
| Sprache: | Englisch |
| Seitenzahl: | 194 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Relational Topology"
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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