Categorical Structure of Closure Operators
Subtitle: With Applications To Topology, Algebra And Discrete Mathematics
Publisher: Springer; D Dikranjan
Published: Dec 03, 2010
Format: paperback
Number of pages: 376
ISBN-13: 9789048146314
Description: This book provides a comprehensive categorical theory of closure operators, with applications to topological and uniform spaces, groups, R-modules, fields and topological groups, as well as partially ordered sets and graphs. In particular, closure operators are used to give solutions to the epimorphism and co-well-poweredness problem in many concrete categories. The material is illustrated with many examples and exercises, and open problems are formulated which should stimulate further research. Audience: This volume will be of interest to graduate students and professional researchers in many branches of mathematics and theoretical computer science. Knowledge of algebra, topology, and the basic notions of category theory is assumed.
Notes: Source title: Categorical Structure of Closure Operators: With Applications To Topology, Algebra And Discrete Mathematics (Mathematics And Its Applications (Closed))