Categorical Closure Operators

Preface * Introduction * Part I: General Theory * Galois Connections * Some Categorical Concepts * Factorization Structures for Sinks * Closure Operators: Definitions and Examples * Idempotency, Weak Heredity and Factorization Structures * Additivity, Heredity, Suprema and Infima of Closure Operators * Additional Description of \hat{C} and \check{C} and Subobject Orthogonality * A Diagram Of Galois Connections of Closure Operators * Regular Closure Operators * Hereditary Regular Closure Operators * Part II- Applications * Epimorphisms * Separation * Compactness * Connectedness * Connectedness in Categories with a Terminal Object * A Link between two Connectedness Notions * Different Constructions Related * References * List of Symbols * Index