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...

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Detalles Bibliográficos
Autor Corporativo: SpringerLink (-)
Otros Autores: Schmidt, Gunther. autor (autor), Winter, Michael, autor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer 2018.
Colección:Lecture Notes in Mathematics, 2208.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b38039011*spi
Descripción
Sumario: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.
Descripción Física:XIV, 194 p. 104 il., 68 il. col
Formato:Forma de acceso: World Wide Web.
ISBN:9783319744513