Relational Topology

• Κύριοι συγγραφείς: Schmidt, Gunther (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Winter, Michael (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Lecture Notes in Mathematics, 2208
• Θέματα: Topology.; Mathematical logic.; Category theory (Mathematics).; Homological algebra.; Algebra.; Computer science-Mathematics.; Computer mathematics.; Discrete mathematics.; Mathematical Logic and Foundations.; Category Theory, Homological Algebra.; General Algebraic Systems.; Mathematical Applications in Computer Science.; Discrete Mathematics.

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...

Πίνακας περιεχομένων:

• 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.